[1]

Markov property of generalized fields and axiomatic potential theory,
Math. Ann. 264 (1983), 157177.

[2]

Selfadjoint harmonic spaces and Dirichlet forms, Hiroshima Math. J.
14 (1984), 5566.

[3]

Dirichlet forms: closability and change of speed measure (with Norbert
Wielens), Infinite dimensional analysis and stochastic processes
(S. Albeverio, ed.), Research Notes in Mathematics, vol. 124, Pitman, Boston,
London, Melbourne, 1985, pp. 119144.

[4]

Capacity, Green's functions and Schrödinger operators (with
Sergio Albeverio, Withold Karwowski, and Ludwig Streit), Infinite dimensional
analysis and stochastic processes (Sergio Albeverio, ed.), Research Notes in
Mathematics, vol. 124, Pitman, Boston, London, Melbourne, 1985, pp. 197215.

[5]

Generalized Markov fields and Dirichlet forms, Acta Appl. Math.
3 (1985), 285311.

[6]

A Dirichlet problem for distributions and specifications for random
fields, Memoirs of the Am. Math. Soc. 54 (1985), 324.

[7]

Specifications and Martin boundaries for P(varphi)_{2}random
fields, Commun. Math. Phys. 106 (1986), 105135.

[8]

On the transition function of the infinite dimensional
OrnsteinUhlenbeck process given by the free quantum field, Potential
Theory (J. Kral et al., eds.), Plenum Press, New York, London, 1988,
pp. 277293.

[9]

footnotetextbfThis paper was awarded the HeinzMayerLeibnitz Preis
1989 in mathematics through the German Bundesminister of Education and
Sciences. Traces of harmonic functions and a new path space for the
free quantum field, J. Funct. Anal. 79 (1988), 211249.

[10]

On Dirichlet forms on topological vector spaces: existence and
maximality (with Sergio Albeverio), Proc. Bad Honnef Conference June
1988 (N. Christopeit et al., eds.), Lect. Notes Inform. Control, vol. 126,
Springer, Berlin, 1989, pp. 1431.

[11]

Dirichlet forms, quantum fields and stochastic quantization (with Sergio
Albeverio), Stochastic analysis, path integration and dynamics (K. D.
Elworthy and J. C. Zambrini, eds.), Research Notes in Mathematics, vol. 200,
Longman, Harlow, 1989, pp. 121.

[12]

Dirichlet forms and generalized Schrödinger operators (with
Sergio Albeverio and Johannes F. Brasche), Schrödinger Operators
(H. Holden and A. Jensen, eds.), Lecture Notes in Physics, vol. 345,
Springer, Berlin, 1989, pp. 142.

[13]

Classical Dirichlet forms on topological vector spaces: construction of
an associated diffusion process (with Sergio Albeverio), Prob. Th. Rel.
Fields 83 (1989), 405434.

[14]

Infinite dimensional diffusions connected with positive generalized white
noise functionals (with Sergio Albeverio), White noise analysis (Takeyuki
Hida et al., eds.), World Scientific, Singapore, 1990, pp. 121.

[15]

New developments in theory and applications of Dirichlet forms (with
Sergio Albeverio), Ascona/Locarno, Switzerland, 49 July 1988 (Sergio
Albeverio et al., eds.), Stochastic processes, physics and geometry, World
Scientific, Singapore, 1990, pp. 2776.

[16]

The Dirichlet problem for quasilinear partial differential operators
with boundary data given by a distribution (with Boguslav Zegarlinski),
Stochastic Processes and their Applications (Sergio Albeverio et al., eds.),
Kluwer, 1990, pp. 301326.

[17]

Dirichlet forms and Markov fields: a report on recent developments
(with Sergio Albeverio and ZhiMing Ma), Diffusion processes and related
problems in Analysis, vol. 1, Birkhäuser, Boston, 1990, pp. 325347.

[18]

Dirichlet forms on topological vector spaces: closability and a
CameronMartin formula (with Sergio Albeverio), J. Funct. Anal.
88 (1990), 395436.

[19]

On the contraction property of energy forms on infinite dimensional space
(with Jürgen Potthoff), J. Funct. Anal. 92 (1990), 155165.

[20]

On partial integration in infinite dimensional space and applications to
Dirichlet forms (with Sergio Albeverio and Shigeo Kusuoka), J. London
Math. Soc. 42 (1990), 122136.

[21]

Dirichlet forms in terms of white noise analysis I: Construction and
QFT examples (with Sergio Albeverio, Takeyuki Hida, Jürgen Potthoff,
and Ludwig Streit), Rev. Math. Phys. 1 (1990), 291312.

[22]

Dirichlet forms in terms of white noise analysis II: Closability and
diffusion processes (with Sergio Albeverio, Takeyuki Hida, Jürgen
Potthoff, and Ludwig Streit), Rev. Math. Phys. 1 (1990), 313323.

[23]

Potential theory on nonlocally compact space via Dirichlet forms,
Potential Theory (M. Kishi, ed.), W. de Gruyter & Co., Berlin, New
York, 1991, Invited Lecture, pp. 107126.

[24]

Decomposition of Dirichlet processes on Hilbert space (with TuSheng
Zhang), Stochastic Analysis (M. T. Barlow and N.H. Bingham, eds.), Cambridge
University Press, Cambridge, 1991, pp. 321332.

[25]

Capacities on Wiener space: tightness and invariance (with Sergio
Albeverio, Masatoshi Fukushima, Wolfhard Hansen, and ZhiMing Ma), C. R.
Acad. Sci. Paris, Serié I 312 (1991), 931935.

[26]

Stochastic differential equations in infinite dimensions: solutions via
Dirichlet forms (with Sergio Albeverio), Prob. Th. Rel. Fields 89
(1991), 347386.

[27]

Introduction to the theory of (nonsymmetric) Dirichlet forms (with
ZhiMing Ma), Universitext, Springer, Berlin, 1992, pp. viii+209.

[28]

Dirichlet forms on infinite dimensional state space and applications,
Stochastic Analysis and Related Topics (H. Körezlioglu and A. S. Ustumel,
eds.), Birkhäuser, Boston, 1992, pp. 131186.

[29]

A BeurlingDeny type structure theorem for Dirichlet forms on
general state spaces (with Sergio Albeverio and ZhiMing Ma), Ideas and
methods in mathematical analysis, stochastics, and applications (Sergio
Albeverio et al., eds.), vol. 1, Cambridge University Press, Cambridge, 1992,
In Memory of Raphael HøeghKrohn (19381988), pp. 115123.

[30]

On the parabolic Martin boundary of the OrnsteinUhlenbeck operator
on Wiener space, Ann. Prob. 20 (1992), 10631085.

[31]

A note on tightness of capacities associated with Dirichlet forms (with
Terry Lyons), Bull. London Math. Soc. 24 (1992), 181184.

[32]

Nonsymmetric Dirichlet forms and Markov processes on general state
space (with Sergio Albeverio and ZhiMing Ma), C. R. Acad. Sci. Paris,
Serié I 314 (1992), 7782.

[33]

Regularization of Dirichlet spaces and applications (with Sergio
Albeverio and ZhiMing Ma), C. R. Acad. Sci. Paris, Serié I 314
(1992), 859864.

[34]

Capacités gaussiennes sont portées par des compacts
métrisables (with Vladimir I. Bogachev), C. R. Acad. Sci. Paris,
Serié I 315 (1992), 197202.

[35]

Construction of diffusions on path and loop spaces of compact Riemannian
manifolds (with Bruce K. Driver), C. R. Acad. Sci. Paris, Serié I
315 (1992), 603608.

[36]

Uniqueness of generalized Schrödinger operators and applications
(with TuSheng Zhang), J. Funct. Anal. 105 (1992), 187231.

[37]

An invariance result for capacities on Wiener space (with Sergio
Albeverio, Masatoshi Fukushima, Wolfhard Hansen, and ZhiMing Ma), J. Funct.
Anal. 106 (1992), 3549.

[38]

Tightness of general C_{1,p}capacities on Banach space (with
Byron Schmuland), J. Funct. Anal. 108 (1992), 112.

[39]

An approximate criterium of essential selfadjointness of Dirichlet
operators (with Sergio Albeverio and Yuri G. Kondratiev), Pot. Anal. 1
(1992), 307317.

[40]

A remark on the support of cadlag processes (with Sergio Albeverio and
ZhiMing Ma), Stochastic Processes. A Festschrift in Honour of G.
Kallianpur (S. Cambanis et al., eds.), Springer, Berlin, 1993, pp. 15.

[41]

General theory of Dirichlet forms and applications, Dirichlet Forms,
Varenna 1992 (G. Dell'Antonio and U. Mosco, eds.), Springer, Berlin, 1993,
pp. 129193.

[42]

Markov uniqueness for a class of infinite dimensional Dirichlet
operators (with Sergio Albeverio and TuSheng Zhang), Stochastic Processes
and Optimal Control (H. J. Engelbert et al., eds.), Stochastic Monographs,
vol. 7, Gordon & Breach, 1993, pp. 126.

[43]

Girsanov transform for symmetric diffusions with infinite dimensional
state space (with Sergio Albeverio and TuSheng Zhang), Ann. Prob. 21
(1993), 961978.

[44]

Construction of a rotational invariant diffusion on the free loop space
(with Sergio Albeverio and Remi Léandre), C. R. Acad. Sci. Paris,
Serié I 316 (1993), 287292.

[45]

Markov uniqueness and its applications to martingale problems,
stochastic differential equations and stochastic quantization (with Sergio
Albeverio and TuSheng Zhang), C. R. Math. Rep. Acad. Sci. Canada XV
(1993), 16.

[46]

Quasiregular Dirichlet forms and Markov processes (with Sergio
Albeverio and ZhiMing Ma), J. Funct. Anal. 111 (1993), 118154.

[47]

Local property of Dirichlet forms and diffusions on general state
spaces (with Sergio Albeverio and ZhiMing Ma), Math. Ann. 296 (1993),
677686.

[48]

Addendum to citealbkonroe:pa:92 (with Sergio Albeverio and Yuri G.
Kondratiev), Pot. Anal. 2 (1993), 195198.

[49]

Dirichlet operators and Gibbs measures (with Sergio Albeverio and
Yuri G. Kondratiev), On Klauder's path: a field trip. Essays in honour of
J. R. Klauder (G. G. Emch et al., eds.), World Scientific, Singapore, 1994,
pp. 110.

[50]

Infinite dimensional diffusions, Markov fields, quantum fields, and
stochastic quantization (with Sergio Albeverio and Yuri G. Kondratiev),
Stochastic analysis and applications (A. I. Cardoso et al., eds.), Kluwer,
Dordrecht, 1994, pp. 134.

[51]

Hypoellipticity and invariant measures of infinite dimensional diffusions
(with Vladimir I. Bogachev), C. R. Acad. Sci. Paris, Serié I 318
(1994), 553558.

[52]

Uniqueness of generalized Schrödinger operators: Part II (with
TuSheng Zhang), J. Funct. Anal. 119 (1994), 455467.

[53]

Quasihomeomorphisms of Dirichlet forms (with Z. Q. Chen and ZhiMing
Ma), Nagoya Math. J. 136 (1994), 115.

[54]

A remark on stochastic dynamics on the infinite dimensional torus (with
Sergio Albeverio and Yuri G. Kondratiev), Ascona Conference (Boston)
(E. Bolthausen et al., eds.), Birkhäuser, 1995, pp. 112.

[55]

Potential theory of quasiregular Dirichlet forms without capacity
(with Sergio Albeverio and ZhiMing Ma), Dirichlet Forms and Stochastic
Processes (ZhiMing Ma et al., eds.), de Gruyter, Berlin, 1995, pp. 4753.

[56]

A remark on quasiRadon measures (with Sergio Albeverio and ZhiMing
Ma), International Conference, Locarno, Switzerland, 2429 June, 1991
(S. Albeverio et al., eds.), Stochastic Processes: Physics and Geometry II,
World Scientific, Singapore, 1995, pp. 7585.

[57]

Dirichlet form methods for uniqueness of martingale problems and
applications (with Sergio Albeverio), Stochastic Analysis. Proceedings of
Symposia in Pure Mathematics (Providence, Rhode Island) (M. C. Cranston and
M. A. Pinsky, eds.), vol. 57, Am. Math. Soc., 1995, pp. 513528.

[58]

A remark on coercive forms and associated semigroups (with Sergio
Albeverio, RuZhong Fan, and Wilhelm Stannat), Partial differential operators
and mathematical physics, Operator Theory Advances and Applications, vol. 78,
Birkhäuser, Basel, 1995, pp. 18.

[59]

An analytic approach to FlemingViot processes with interactive
selection (with Ludger Overbeck and Byron Schmuland), Ann. Prob. 23
(1995), 136.

[60]

Quasiregular Dirichlet forms: examples and counterexamples (with
Byron Schmuland), Can. J. Math. 47 (1995), 165200.

[61]

Markov processes associated with positivity preserving forms (with
ZhiMing Ma), Can. J. Math. 47 (1995), 817840.

[62]

Dirichlet operators via stochastic analysis (with Sergio Albeverio and
Yuri G. Kondratiev), J. Funct. Anal. 128 (1995), 102138.

[63]

Uniqueness of the stochastic dynamics for continuous spin systems on a
lattice (with Sergio Albeverio and Yuri G. Kondratiev), J. Funct. Anal.
133 (1995), 1020.

[64]

Regularity of invariant measures on finite and infinite dimensional spaces
and applications (with Vladimir I. Bogachev), J. Funct. Anal. 133
(1995), 168223.

[65]

Mehler formula and capacities for infinite dimensional
OrnsteinUhlenbeck processes with general linear drift (with
Vladimir I. Bogachev), Osaka J. Math. 32 (1995), 237274.

[66]

Markov processes associated with semiDirichlet forms (with ZhiMing
Ma and Ludger Overbeck), Osaka J. Math. 32 (1995), 97119.

[67]

Characterization of (nonsymmetric) Dirichlet forms associated with
Hunt processes (with Sergio Albeverio and ZhiMing Ma), Rand. Op. Stoch.
Eq. 3 (1995), 161179.

[68]

Differential geometry of Poisson spaces (with Sergio Albeverio and
Yuri G. Kondratiev), C. R. Acad. Sci. Paris, Serié I 323 (1996),
11291134.

[69]

Canonical Dirichlet operator and distorted Brownian motion on Poisson
spaces (with Sergio Albeverio and Yuri G. Kondratiev), C. R. Acad. Sci.
Paris, Serié I 323 (1996), 11791184.

[70]

Regularity of invariant measures: the case of nonconstant diffusion part
(with Vladimir I. Bogachev and Nicolai V. Krylov), J. Funct. Anal. 138
(1996), 223242.

[71]

Regularity of invariant measures for a class of perturbed
OrnsteinUhlenbeck operators (with Vladimir I. Bogachev and Giuseppe
Da Prato), Nonlin. Diff. Eq. Appl. 3 (1996), 261268.

[72]

Generalized Mehler semigroups and applications (with Vladimir I. Bogachev
and Byron Schmuland), Prob. Th. Rel. Fields 105 (1996), 193225.

[73]

Martingale decomposition of Dirichlet processes on the Banach space
C_{0}[0,1] (with Terry Lyons and TuSheng Zhang), Stoch. Proc. Appl.
64 (1996), 3138.

[74]

Finite dimensional approximation of diffusion processes on infinite
dimensional state spaces (with TuSheng Zhang), Stoch. Stoch. Rep. 57
(1996), 3755.

[75]

Elliptic regularity and essential selfadjointness of Dirichlet operators
on mathbb R^{d} (with Vladimir I. Bogachev and Nicolai V. Krylov), Ann.
Scuola Norm. Sup. Pisa Cl. Sci., Serie IV XXIV (1997), no. 3, 451461.

[76]

Uniqueness of Gibbs states on loop lattices (with Sergio Albeverio,
Yuri G. Kondratiev, and Tatjana V. Tsikalenko), C. R. Acad. Sci. Paris,
Serié I 324 (1997), 14011406.

[77]

Dobrushin's uniqueness for quantum lattice systems with nonlocal
interaction (with Sergio Albeverio, Yuri G. Kondratiev, and Tatjana V.
Tsikalenko), Commun. Math. Phys. 189 (1997), 621630.

[78]

Partitions of unity in Sobolev spaces over infinite dimensional state
spaces (with Sergio Albeverio and ZhiMing Ma), J. Funct. Anal. 143
(1997), 247268.

[79]

Ergodicity of L^{2}semigroups and extremality of Gibbs states (with
Sergio Albeverio and Yuri G. Kondratiev), J. Funct. Anal. 144 (1997),
394423.

[80]

Ergodicity for the stochastic dynamics of quasiinvariant measures with
applications to Gibbs states (with Sergio Albeverio and Yuri G.
Kondratiev), J. Funct. Anal. 149 (1997), 415469.

[81]

Convergence of operator semigroups generated by elliptic operators (with
TuSheng Zhang), Osaka J. Math. 34 (1997), 923932.

[82]

Uniqueness of Gibbs states for quantum lattice systems (with Sergio
Albeverio, Yuri G. Kondratiev, and Tatjana V. Tsikalenko), Prob. Th. Rel.
Fields 108 (1997), 193218.

[83]

Geometric aspects of finite and infinite dimensional FlemingViot
processes (with Ludger Overbeck), Rand. Op. Stoch. Eq. 5 (1997),
3558.

[84]

Stochastic analysis on configuration spaces: basic ideas and recent
results, New directions in Dirichlet forms (J. Jost et al., eds.),
Studies in Advanced Mathematics, International Press, 1998, pp. 157231.

[85]

Dirichlet forms on infinite dimensional "manifoldlike" state spaces: a
survey of recent results and some prospects for the future, Probability
towards 2000 (L. Accardi et al., eds.), Lecture Notes in Statistics,
Springer, Berlin, 1998, pp. 287306.

[86]

On the strong Feller property of semigroups generated by nondivergence
operators with L^{p}drifts (with TuSheng Zhang), Stochastic Analysis
and Related Topics (L. Decreusefond et al., eds.), vol. VI, Birkhäuser,
1998, pp. 401408.

[87]

Approximation of arbitrary Dirichlet processes by Markov chains (with
ZhiMing Ma and TuSheng Zhang), Ann. Inst. Henri Poincaré 34
(1998), 122.

[88]

Strong uniqueness for a class of infinite dimensional Dirichlet operators
and applications to stochastic quantization (with Vitali I. Liskevich),
Ann. Scuola Norm. Sup. Pisa Cl. Sci., Serie IV XXVII (1998), no. 1,
6991.

[89]

A support property for infinite dimensional interacting diffusion processes
(with Byron Schmuland), C. R. Acad. Sci. Paris, Serié I 326 (1998),
359364.

[90]

Analysis and geometry on configuration spaces (with Sergio Albeverio and
Yuri G. Kondratiev), J. Funct. Anal. 154 (1998), 444500.

[91]

Analysis and geometry on configuration spaces. The Gibbsian case (with
Sergio Albeverio and Yuri G. Kondratiev), J. Funct. Anal. 157 (1998),
242291.

[92]

L^{p}analysis of finite and infinite dimensional diffusion operators,
Stochastic PDE's and Kolmogorov's equations in infinite dimensions
(Giuseppe Da Prato, ed.), Lect. Notes Math., vol. 1715, Springer, Berlin,
1999, pp. 65116.

[93]

Existence of invariant measures for diffusion processes on Banach
spaces (with TuSheng Zhang), Progress in Probability, vol. 45,
Birkhäuser, Basel, 1999, pp. 261265.

[94]

Stochastic quantization of the twodimensional polymer measure (with
Sergio Albeverio, YaoZhong Hu, and Xian Yin Zhou), Appl. Math. Optim.
40 (1999), 341354.

[95]

Apriori estimates and existence of Gibbs measures: a simplified proof
(with Sergio Albeverio, Yuri G. Kondratiev, and Tatjana V. Tsikalenko), C. R.
Acad. Sci. Paris, Serié I 328 (1999), 10491054.

[96]

Elliptic equations for infinite dimensional probability distributions and
Lyapunov functions (with Vladimir I. Bogachev), C. R. Acad. Sci. Paris,
Serié I 329 (1999), 705710.

[97]

On uniqueness of invariant measures for finite and infinite dimensional
diffusions (with Sergio Albeverio and Vladimir I. Bogachev), Comm. Pure
Appl. Math. 52 (1999), 325362.

[98]

Scattering problem for local perturbations of the free quantum gas (with
Yuri G. Kondratiev, Alexei Y. Konstantinov, and Gennadi V. Shchepa'nuk),
Commun. Math. Phys. 203 (1999), 421444.

[99]

Probabilistic representation and hyperbound estimates for semigroups (with
TuSheng Zhang), IDAQP 2 (1999), 337358.

[100]

Dirichlet operators with variable coefficients in L^{p}spaces of
functions of infinitely many variables (with Vitali I. Liskevich and Zeev
Sobol), IDAQP 2 (1999), 487502.

[101]

Fluctuations and their Glauber dynamics in lattice systems (with Sergio
Albeverio, Alexei Daletskii, and Yuri G. Kondratiev), J. Funct. Anal.
166 (1999), 148167.

[102]

Rademacher's theorem on configuration spaces and applications (with
Alexander Schied), J. Funct. Anal. 169 (1999), 325356.

[103]

On the martingale problem for pseudodifferential operators on infinite
dimensional spaces (with Vladimir I. Bogachev and Paul Lescot), Nagoya Math.
J. 153 (1999), 101118.

[104]

Diffeomorphism groups, current algebras and all that: configuration space
analysis in quantum theory (with Sergio Albeverio and Yuri G. Kondratiev),
Rev. Math. Phys. 11 (1999), 124.

[105]

L^{1}uniqueness for diffusion operators on measurable state spaces: a
class of examples., Mathematical Physics and Stochastic Analysis. Essays in
Honour of Ludwig Streit (Sergio Albeverio et al., eds.), World Scientific,
Singapore, 2000, pp. 350358.

[106]

Uniqueness of invariant measures and maximal dissipativity of diffusion
operators on L^{1} (with Vladimir I. Bogachev and Wilhelm Stannat),
Infinite dimensional Stochastic Analysis (P. Clément et al., eds.), Royal
Netherlands Academy of Arts and Sciences, Amsterdam, 2000, pp. 3954.

[107]

Exponential mixing for classical continuous systems (with Yuri G.
Kondratiev, Robert A. Minlos, and Gennadi V. Shchepa'nuk), Stochastic
Processes, Physics and Geometry: New Interplays, vol. 1, AMS for the CMS,
Providence, Rhode Island, 2000, A volume in honor of Sergio Albeverio,
pp. 243254.

[108]

Diffusions on "simple" configuration spaces (with ZhiMing Ma),
Stochastic Processes, Physics and Geometry: New Interplays, vol. 1, AMS for
the CMS, Providence, Rhode Island, 2000, A volume in honor of Sergio
Albeverio, pp. 255270.

[109]

Approximation of Hunt processes by multivariate Poisson processes (with
ZhiMing Ma and Wei Sun), Acta Appl. Math. 63 (2000), 233243.

[110]

Stochastic dynamics of compact spins: ergodicity and irreducibility (with
Sergio Albeverio, Alexei Daletskii, and Yuri G. Kondratiev), Acta Appl. Math.
63 (2000), 2740.

[111]

Existence and uniqueness of invariant measures: an approach via sectorial
forms (with Vladimir I. Bogachev and TuSheng Zhang), Appl. Math. Optim.
41 (2000), 87109.

[112]

Apriori estimates on symmetrizing measures and their applications to
Gibbs states (with Sergio Albeverio, Yuri G. Kondratiev, and Tatjana V.
Tsikalenko), J. Funct. Anal. 171 (2000), 366400.

[113]

Construction of diffusions on configuration spaces (with ZhiMing Ma),
Osaka J. Math. 37 (2000), 273314.

[114]

Generalized Mehler semigroups: The nonGaussian case (with Marco
Fuhrman), Pot. Anal. 12 (2000), 147.

[115]

Ray Höldercontinuity for fractional Sobolev spaces in infinite
dimensions and applications (with Jiagang Ren), Prob. Th. Rel. Fields
117 (2000), 201220.

[116]

Uniqueness of Gibbs states of quantum lattices in small mass regime (with
Sergio Albeverio, Yuri G. Kondratiev, and Yuri Kozitsky), Ann. Inst. Henri
Poincaré 37 (2001), no. 1, 4369.

[117]

L^{p}uniqueness for infinite dimensional symmetric Kolmogorov
operators: The case of variable diffusion coefficients (with Vitali I.
Liskevich, Zeev Sobol, and Alexei Us), Ann. Scuola Norm. Sup. Pisa Cl. Sci.,
Serie IV XXX (2001), no. 2, 285309.

[118]

Elliptic equations for invariant measures on Riemannian manifolds:
existence and regularity of solutions (with Vladimir I. Bogachev and
FengYu Wang), C. R. Acad. Sci. Paris, Serié I 332 (2001),
333338.

[119]

Gibbs states on loop lattices: existence and a priori estimates (with
Sergio Albeverio, Yuri G. Kondratiev, and Tatiana Pasurek), C. R. Acad. Sci.
Paris, Serié I 333 (2001), 10051009.

[120]

On regularity of transition functions and invariant measures of singular
diffusions under minimal conditions (with Vladimir I. Bogachev and
Nicolai V. Krylov), Comm. PDE 26 (2001), 20372080.

[121]

Differentiability of the invariant measure and transition probabilities of
singular diffusions (with Vladimir I. Bogachev and Nicolai V. Krylov),
Doklady Math. Russian Acad. Sci. 63 (2001), 1821, translated from
Doklady Akademii Nauk., vol. 376 (2001), 151154.

[122]

Elliptic equations associated with invariant measures of diffusions on
finite and infinitedimensional manifolds (with Vladimir I. Bogachev and
FengYu Wang), Doklady Math. Russian Acad. Sci. 63 (2001), 351354,
translated from Doklady Akademii Nauk., vol. 378 (2001), 439442.

[123]

Gauss formula and symmetric extensions of the Laplacian on
configuration spaces (with Dimitri L. Finkelshtein, Yuri G. Kondratiev, and
Alexei Y. Konstantinov), IDAQP 4 (2001), 489509.

[124]

Stochastic dynamics of fluctuations in classical continuous systems (with
Sergio Albeverio, Martin Grothaus, and Yuri G. Kondratiev), J. Funct. Anal.
185 (2001), 129154.

[125]

Poincaré inequality for weighted first order Sobolev spaces on loop
spaces (with FuZhou Gong and LiMing Wu), J. Funct. Anal. 185
(2001), 527563.

[126]

Weak Poincaré inequalities and L^{2}convergence rates of Markov
semigroups (with FengYu Wang), J. Funct. Anal. 185 (2001), 564603.

[127]

Elliptic equations for invariant measures on finite and infinite dimensional
manifolds (with Vladimir I. Bogachev and FengYu Wang), J. Math. Pures
Appl. 80 (2001), 177221.

[128]

On a relation between intrinsic and extrinsic Dirichlet forms for
interacting particle systems (with Yuri G. Kondratiev and JoseLuis
da Silva), Math. Nachrichten 222 (2001), 141157.

[129]

Euclidean Gibbs states of quantum crystals (with Sergio Albeverio,
Yuri G. Kondratiev, and Tatiana Pasurek), Moscow Math. J. 1 (2001),
17, (English version), 307313 (Russian version).

[130]

Elliptic equations for measures on infinite dimensional spaces and
applications (with Vladimir I. Bogachev), Prob. Th. Rel. Fields 120
(2001), 445496.

[131]

Glauber dynamics for quantum lattice systems (with Sergio Albeverio,
Yuri G. Kondratiev, and Tatjana V. Tsikalenko), Rev. Math. Phys. 13
(2001), 51124.

[132]

Invariant measures of diffusion processes: regularity, existence and
uniqueness problems (with Vladimir I. Bogachev), Stochastic partial
differential equations and applications (Giuseppe Da Prato et al., eds.),
Marcel Dekker, Inc., New York, 2002, pp. 6987.

[133]

Gibbs states of a quantum crystal: uniqueness by small particle mass
(with Sergio Albeverio, Yuri G. Kondratiev, and Yuri Kozitsky), C. R. Acad.
Sci. Paris, Serié I 335 (2002), 693698.

[134]

Surface measures and tightness of Sobolev capacities on Poisson space
(with Vladimir I. Bogachev and Oleg V. Pugachev), Dokl. Math. (Dokl. Russian
Acad. Sci.) 66:2 (2002), 157160.

[135]

Invariant measures of stochastic gradient systems in Riemannian
manifolds and Gibbs measures (with Vladimir I. Bogachev and FengYu Wang),
Dokl. Math. (Dokl. Russian Acad. Sci.) 66:2 (2002), 179183.

[136]

On weak parabolic equations for probability measures (with Vladimir I.
Bogachev and Giuseppe Da Prato), Dokl. Math. (Dokl. Russian Acad. Sci.)
66:2 (2002), 192196.

[137]

Generators of Mehlertype semigroups as pseudodifferential operators
(with Paul Lescot), IDAQP 5 (2002), 297315.

[138]

Surface measures and tightness of (r,p)capacities on Poisson space
(with Vladimir I. Bogachev and Oleg V. Pugachev), J. Funct. Anal. 196
(2002), 6186.

[139]

Uniqueness of solutions of elliptic equations and uniqueness of invariant
measures of diffusions (with Vladimir I. Bogachev and Wilhelm Stannat),
Matem. Sbornik. 193:7 (2002), 336, (Russian version), 945976
(English version).

[140]

Singular dissipative stochastic equations in Hilbert spaces (with
Giuseppe Da Prato), Prob. Th. Rel. Fields 124 (2002), 261303.

[141]

Euclidean Gibbs states of quantum lattice systems (with Sergio Albeverio,
Yuri G. Kondratiev, and Yuri Kozitsky), Rev. Math. Phys. 14:12 (2002),
13351401.

[142]

A generalization of Hasminskii's theorem on existence of invariant measures
for locally integrable drifts (with Vladimir I. Bogachev), Th. Prob. Appl.
45 (2002), 363378, translated from Th. Prob. Appl., vol. 45 (2000)
417436.

[143]

Strong Feller properties for distorted Brownian motion and
applications to finite particle systems with singular interactions (with
Sergio Albeverio and Yuri G. Kondratiev), "Finite and Infinite Dimensional
Analysis in Honor of Leonard Gross" (H.H. Kuo et al., eds.), Contemporary
Mathematics, Vol. 317, Amer. Math. Soc., 2003.

[144]

Symmetrizing measures for infinite dimensional diffusions: an analytic
approach (with Sergio Albeverio and Yuri G. Kondratiev), "Geometric
analysis and nonlinear partial differential equations" (Stefan Hildebrandt
et al., eds.), Springer, Berlin, 2003, pp. 475486.

[145]

Scaling limits of stochastic dynamics in classical continuous systems
(with Martin Grothaus, Yuri G. Kondratiev, and Eugene Lytvynov), Ann. Prob.
31:3 (2003), 14941532.

[146]

Large deviations for invariant measures of general stochastic
reactiondiffusion systems (with Sandra Cerrai), C. R. Acad. Sci. Paris,
Serié I 337 (2003), 597602.

[147]

Small mass implies uniqueness of Gibbs states of a quantum crystal (with
Sergio Albeverio, Yuri G. Kondratiev, and Yuri Kozitsky), Commun. Math. Phys.
241 (2003), 6990.

[148]

Quantum anharmonic crystal in functional integral approach (with Yuri G.
Kondratiev, Yuri Kozitsky, and Tatiana Pasurek), Condensed Matter Physics
6:4 (2003), 647674.

[149]

Supercontractivity and ultracontractivity of (nonsymmetric) diffusion
semigroups on manifolds (with FengYu Wang), Forum Math. 15 (2003),
893921.

[150]

Lower order perturbations of Dirichlet processes (with TuSheng Zhang),
Forum Math. 15:2 (2003), 285297.

[151]

Harnack and functional inequalities for generalized Mehler semigroups
(with FengYu Wang), J. Funct. Anal. 203 (2003), 237261.

[152]

On L^{p}uniqueness of symmetric diffusion operators on Riemannian
manifolds (with Vladimir I. Bogachev), Matem. Sbornik. 194(7) (2003),
969978.

[153]

Quantum stabilization in anharmonic crystals (with Sergio Albeverio,
Yuri G. Kondratiev, and Yuri Kozitsky), Phys. Rev. Lett. 90:17 (2003),
170603170607.

[154]

The heat semigroup on configuration spaces (with Yuri G. Kondratiev and
Eugene Lytvynov), Publ. Res. Inst. Math. Sci., Kyoto University 39:1
(2003), 148.

[155]

L^{1}theory for the Kolmogorov operators of stochastic generalized
Burgers equations (with Zeev Sobol), Quantum Information and Complexity:
Proceedings of the 2003 Meijo Winter School and Conference (T. Hida,
K. Saitô, and Si Si, eds.), World Scientific, 2004, pp. 87105.

[156]

Invariant measures for a stochastic porous medium equation (with Giuseppe
Da Prato), Stochstic Analysis and Related Topics (Hiroshi Kunita, Yoichiro
Takanashi, and Shinzo Watanabe, eds.), Advanced Studies in Pure Mathematics,
vol. 41, Math. Soc. Japan, 2004, pp. 1329.

[157]

Large deviations for stochastic reactiondiffusion systems with
multiplicative noise and nonLipschitz reaction term (with Sandra
Cerrai), Ann. Prob. 32 (2004), no. 1B, 11001139.

[158]

Euclidean Gibbs measures on loop lattices: existence and a priori
estimates (with Sergio Albeverio, Yuri G. Kondratiev, and Tatiana Pasurek),
Ann. Prob. 32 (2004), no. 1A, 153190.

[159]

On the spectrum of a class of nonsectorial diffusion operators (with
FengYu Wang), Bull. London Math. Soc. 36 (2004), 95104.

[160]

A new approach to Kolmogorov equations in infinite dimensions and
applications to stochastic generalized Burgers equations (with Zeev
Sobol), C. R. Acad. Sci. Paris, Serié I 338 (2004), no. 12,
945949.

[161]

Global gradient bounds for dissipative diffusion operators (with
Vladimir I. Bogachev, Giuseppe Da Prato, and Zeev Sobol), C. R. Acad. Sci.
Paris, Serié I 339 (2004), no. 4, 277282.

[162]

Invariance implies Gibbsian: some new results (with Vladimir I.
Bogachev and FengYu Wang), Commun. Math. Phys. 248 (2004), no. 2,
335355.

[163]

Invariant measures of stochastic generalized porous medium equations (with
Vladimir I. Bogachev and Giuseppe Da Prato), Doklady Math. Russian Acad. Sci.
396 (2004), no. 1, 6, English translation: Russ. Math. Dokl.

[164]

Weak solutions to stochastic porous media equations (with Giuseppe
Da Prato), J. Evol. Equ. 4 (2004), 249271.

[165]

Uniqueness of diffusion generators for two types of particle systems with
singular interactions (with Yuri G. Kondratiev and Alexei Y. Konstantinov),
J. Funct. Anal. 212 (2004), no. 2, 357372.

[166]

On diffusion dynamics for continuous systems with singular superstable
interaction (with Yuri G. Kondratiev and Alexei L. Rebenko), J. Math. Phys.
45 (2004), no. 5, 18261848.

[167]

Perturbations of generalized Mehler semigroups and applications to
stochastic heat equations with Lèvy noise and singular drift (with Paul
Lescot), Pot. Anal. 20 (2004), no. 4, 317344.

[168]

Existence of solutions to weak parabolic equations for measures (with
Vladimir I. Bogachev and Giuseppe Da Prato), Proc. London Math. Soc. 88
(2004), no. 3, 753774.

[169]

Sample path large deviations for diffusion processes on configuration
spaces over a Riemannian manifold (with TuSheng Zhang), Publ. Res. Inst.
Math. Sci., Kyoto University 40 (2004), no. 2, 385427.

[170]

PDE approach to invariant and Gibbs measures with applications,
Infinite dimensional harmonic analysis III. Proceedings of the Third
GermanJapanese Symposium, University of Tübingen, Germany, 2003 (Herbert
Heyer et al., eds.), World Scientific, 2005.

[171]

A
remark on sets in infinite dimensional spaces with full or zero capacity
(with Jiagang Ren), Stochastic Analysis: Classical and Quantum. Perspectives
of white noise theory (Takeyuki Hida, ed.), World Scientific, 2005,
pp. 177186.

[172]

Euclidean Gibbs measures of quantum crystals: existence, uniqueness and a
priori estimates (with Sergio Albeverio, Yuri G. Kondratiev, and Tatiana
Pasurek), Interacting Stochastic Systems (J.D. Deuschel and A. Greven, eds.),
Springer, 2005, pp. 2954.

[173]

An analytic approach to Kolmogorov's equations in infinite dimensions and
probabilistic consequences, XIVth International Congress on Mathematical
Physics, World Scientific, 2005, invited talk at the International Congress
on Mathematical Physics (ICMP) 2003, pp. 520526.

[174]

Large deviations for invariant measures of stochastic reaction diffusion
systems with multiplicative noise and nonLipschitz reaction term (with
Sandra Cerrai), Ann. Inst. Henri Poincaré 41 (2005), no. 1,
69105.

[175]

Homogenization with respect to Gibbs measures for periodic drift
diffusions on lattices (with Sergio Albeverio, Simonetta Bernabei, and
Minoru W. Yoshida), C. R. Acad. Sci. Paris  Mathematics 341 (2005),
no. 11, 675678.

[176]

Regularity and global bounds of densities of invariant measures of
diffusion processes (with Vladimir I. Bogachev and Nicolai V. Krylov), Dokl.
Math. (Dokl. Russian Acad. Sci.) 72 (2005), no. 3, 934938, (English
translation; Russian version: Doklady Akademii Nauk textbf405 (2005), no.
5, 583587).

[177]

Strong solutions for stochastic equations with singular time dependent
drift (with Nicolai V. Krylov), Prob. Th. Rel. Fields 131 (2005),
no. 2, 154196.

[178]

Global regularity and bounds for solutions of parabolic equations for
probability measures (with Vladimir I. Bogachev and Stanislav V.
Shaposhnikov), Teor. Veroyatn. Primen. 50 (2005), no. 4, 652674,
English translation: Theory Probab. Appl. 50 (2006), no.4, 561581.

[179]

Existence and apriori estimates for Euclidean Gibbs states (with
Sergio Albeverio, Yuri G. Kondratiev, and Tatiana Pasurek), Trans. Moscow
Math. Soc. 66 (2005), 3101.

[180]

Gradient bounds for solutions of elliptic and parabolic equations (with
Vladimir I. Bogachev, Giuseppe Da Prato, and Zeev Sobol), Stochastic Partial
Differential Equations and Applications. VII (Giuseppe Da Prato and Luciano
Tubaro, eds.), Chapman and Hall/CRC, 2006, pp. 2734.

[181]

Kolmogorov equations in infinite dimensions: wellposedness, regularity of
solutions, and applications to stochastic generalized Burgers equations
(with Zeev Sobol), Ann. Prob. 34 (2006), no. 2, 663727.

[182]

Dissipative stochastic equations in Hilbert space with time dependent
coefficients (with Giuseppe Da Prato), Atti Accad. Naz. Lincei Rend. Lincei
Mat. Appl. 17 (2006), no. 4, 397403.

[183]

Strong solutions of stochastic generalized porous media equations: existence,
uniqueness and ergodicity (with Giuseppe Da Prato, Boris L. Rozovskii, and
FengYu Wang), Comm. PDE 31 (2006), no. 2, 277291.

[184]

Infinite interacting diffusion particles I: Equilibrium process and its
scaling limit (with Yuri G. Kondratiev and Eugene Lytvynov), Forum Math.
18 (2006), no. 1, 943.

[185]

Markov processes associated with L^{p}resolvents and applications to
stochastic differential equations on Hilbert space (with Lucian Beznea
and Nicu Boboc), J. Evol. Equ. 6 (2006), no. 4, 745772.

[186]

Weak solutions to the stochastic porous media equation via Kolmogorov
equations: the degenerate case (with Viorel Barbu, Vladimir I. Bogachev,
and Giuseppe Da Prato), J. Funct. Anal. 237 (2006), no. 1, 5475.

[187]

Elliptic equations for measures: regularity and global bounds of densities
(with Vladimir I. Bogachev and Nicolai V. Krylov), J. Math. Pures Appl.
85 (2006), no. 6, 743757.

[188]

Functional inequalities for particle systems on polish spaces (with FengYu
Wang), Pot. Anal. 24 (2006), no. 3, 223243.

[189]

Quasiregular topologies for L^{p}resolvents and semiDirichlet forms
(with Lucian Beznea and Nicu Boboc), Pot. Anal. 25 (2006), no. 3,
269282.

[190]

Large deviations for stochastic generalized porous media equations (with
FengYu Wang and LiMing Wu), Stoch. Proc. Appl. 116 (2006), no. 12,
16771689.

[191]

A concise course on stochastic partial differential equations (with
Claudia Prévôt), monograph, Lecture Notes in Mathematics 1905,
Springer, Berlin, 2007, pp. vi+144.

[192]

A note on evolution systems of measures for timedependent stochastic
differential equations (with Giuseppe Da Prato), Progress in Probability,
Vol.59 (Robert C. Dalang, Marco Dozzi, and Francesco Russo, eds.),
Birkhaeuser, 2007, pp. 115122.

[193]

Compact excessive functions and Markov processes: a general case and
applications (with Lucian Beznea and A. Cornea), RIMS Kôkyûroku
Bessatsu B6, Proceedings of RIMS Workshop on Stochastic Analysis and
Applications, 2007, pp. 3137.

[194]

Uniqueness of solutions to weak parabolic equations for measures (with
Vladimir I. Bogachev, Giuseppe Da Prato, and Wilhelm Stannat), Bull. London
Math. Soc. 39 (2007), no. 4, 631640.

[195]

A
new approach to Kolmogorov equations in infinite dimensions and
applications to the stochastic 2D Navier Stokes equation (with Zeev
Sobol), C. R. Acad. Sci. Paris, Serié I 338 (2007), no. 12,
945949.

[196]

Equilibrium Glauber and Kawasaki dynamics of continuous particle
systems (with Yuri G. Kondratiev and Eugene Lytvynov), IDAQP 10
(2007), no. 2, 185209.

[197]

Concentration of invariant measures for stochastic generalized porous media
equations (with FengYu Wang), IDAQP 10 (2007), no. 3, 397409.

[198]

A
remark on the generator of a rightcontinuous Markov process (with Gerald
Trutnau), IDAQP 10 (2007), no. 4, 633640.

[199]

footnotetextbfTop Cited Article 20072011 of J. Diff.
Equations
Stochastic generalized porous media and fast diffusion equations (with
Jiagang Ren and FengYu Wang), J. Diff. Equations 238 (2007), no. 1,
118152.

[200]

Essential selfadjointness of Dirichlet operators on a path space with
Gibbs measures via an SPDE approach (with Hiroshi Kawabi), J. Funct.
Anal. 242 (2007), no. 2, 486518.

[201]

Stochastic evolution equations of jump type: existence, uniqueness and large
deviation principles (with TuSheng Zhang), Pot. Anal. 26 (2007),
no. 3, 255279.

[202]

KusuokaStroock formula on configuration space and regularities for local
times with jumps (with Jiagang Ren and Xicheng Zhang), Pot. Anal. 26
(2007), 363396.

[203]

N/Vlimit for stochastic dynamics in continuous particle systems (with
Martin Grothaus and Yuri G. Kondratiev), Prob. Th. Rel. Fields 137
(2007), no. 12, 121160.

[204]

Estimates of densities of stationary distributions and transition
probabilities of diffusion processes (with Vladimir I. Bogachev and
Stanislav V. Shaposhnikov), Teor. Verojatn. i Primen. 52 (2007), no. 2,
240270, English translation: Theory Probab. Appl. 52 (2008), no. 2,
209236.

[205]

Some results on stochastic porous media equations (with Viorel Barbu and
Giuseppe Da Prato), Bollettino U.M.I. (9) I (2008), 115.

[206]

Markov processes associated with L^{p}resolvents, applications to
quasiregular Dirichlet forms and stochastic differential equations (with
Lucian Beznea and Nicu Boboc), C. R. Acad. Sci. Paris, Serié I 346
(2008), no. 56, 323328.

[207]

On
parabolic equations for measures (with Vladimir I. Bogachev and Giuseppe
Da Prato), Comm. PDE 33 (2008), no. 13, 397418.

[208]

YamadaWatanabe theorem for stochastic evolution equations in infinite
dimensions (with Byron Schmuland and Xicheng Zhang), Cond. Matt. Phys.
11 (2008), no. 2, 247259.

[209]

Nonequilibrium stochastic dynamics in continuum: the free case (with
Yuri G. Kondratiev and Eugene Lytvynov), Cond. Matt. Phys. 11 (2008),
no. 4, 701721.

[210]

Parabolic equations for measures on infinitedimensional spaces (with
Vladimir I. Bogachev and Giuseppe Da Prato), Doklady Math. Russian Acad. Sci.
421 (2008), no. 4, 439444, English translation: Dokl. Math.
textbf78 (2008), no. 1.

[211]

Infinite dimensional Kolmogorov operators with time dependent drift (with
Vladimir I. Bogachev and Giuseppe Da Prato), Doklady Math. Russian Acad. Sci.
77 (2008), no. 2, 276280, Russian version: Dokl. Russian Akad.
textbf419 (2008), no. 5, pp. 587591.

[212]

Existence and uniqueness of non negative solutions to the stochastic porous
media equation (with Viorel Barbu and Giuseppe Da Prato), Indiana Univ.
Math. J. 57 (2008), no. 1, 187212.

[213]

Nonmonotone stochastic generalized porous media equations (with FengYu
Wang), J. Diff. Equations 245 (2008), no. 12, 38983935.

[214]

The statistical mechanics of quantum lattice systems: A path integral
approach (with Sergio Albeverio, Yuri G. Kondratiev, and Yuri Kozitsky),
monograph, Tracts in Mathematics 8 of the EMS, 2009, pp. xiii+379.

[215]

Selforganized criticality via stochastic partial differential equations
(with Viorel Barbu, Philippe Blanchard, and Giuseppe Da Prato), Theta Series
in Advanced Mathematics, "Potential Theory and Stochastic Analysis" in
Albac. Aurel Cornea Memorial Volume, 2009, pp. 1119.

[216]

Existence of strong solutions for stochastic porous media equation under
general monotonicity conditions (with Viorel Barbu and Giuseppe Da Prato),
Ann. Prob. 37 (2009), no. 2, 428452.

[217]

Finite time extinction for solutions to fast diffusion stochastic porous
media equations (with Viorel Barbu and Giuseppe Da Prato), C. R. Acad. Sci.
Paris  Mathematics 347 (2009), no. 12, 8184.

[218]

Stochastic porous media equation and selforganized criticality (with
Viorel Barbu and Giuseppe Da Prato), Commun. Math. Phys. 285 (2009),
no. 3, 901923.

[219]

Lower estimates of densities of solutions of elliptic equations for
measures (with Vladimir I. Bogachev and Stanislav V. Shaposhnikov), Doklady
Math. Russian Acad. Sci. 426 (2009), no. 2, 156161.

[220]

Nonlinear evolution and transport equations for measures (with Vladimir I.
Bogachev and Stanislav V. Shaposhnikov), Doklady Math. Russian Acad. Sci.
80 (2009), no. 3, 785789.

[221]

Tamed 3D NavierStokes equation: Existence, uniqueness and regularity
(with Xicheng Zhang), IDAQP (2009), no. 4, 525549.

[222]

A
Note on variational solutions to SPDE perturbed by Gaussian noise in a
general class (with Yi Wang), IDAQP 12 (2009), 353358.

[223]

FokkerPlanck equations and maximal dissipativity of Kolmogorov operators
with time dependent singular drifts in Hilbert spaces (with Vladimir I.
Bogachev and Giuseppe Da Prato), J. Funct. Anal. 256 (2009), no. 4,
12691298.

[224]

Singular stochastic equations on Hilbert spaces: Harnack inequalities for
their transition semigroups (with Giuseppe Da Prato and FengYu Wang), J.
Funct. Anal. 257 (2009), no. 4, 9921017.

[225]

Erratum: "Singular dissipative stochastic equations in Hilbert
spaces" (with Giuseppe Da Prato), Prob. Th. Rel. Fields 143 (2009),
no. 34, 659664.

[226]

Stochastic tamed 3D NavierStokes equations: existence, uniqueness and
ergodicity (with Xicheng Zhang), Prob. Th. Rel. Fields 145 (2009),
211267.

[227]

Stochastic nonlinear diffusion equations with singular diffusivity (with
Viorel Barbu and Giuseppe Da Prato), SIAM J. for Math. Anal. 41 (2009),
11061120.

[228]

Martingale solutions and Markov selections for stochastic partial
differential equations (with Benjamin Goldys and Xicheng Zhang), Stoch.
Proc. Appl. 119 (2009), no. 5, 17251764.

[229]

Positive densities of transition probabilities of diffusion processes (with
Vladimir I. Bogachev and Stanislav V. Shaposhnikov), Th. Prob. Appl. 53
(2009), no. 2, 213239, Russian version: Teor. Verojatn. i Primen. 53
(2008), no. 2.

[230]

Elliptic and parabolic equations for measures (with Vladimir I. Bogachev
and Nicolai V. Krylov), Uspekhi Mat. Nauk 64 (2009), no. 6(390),
5116, (Rossiui skaya Akademiya Nauk. Moskovskoe Matematicheskoe
Obshchestvo. Uspekhi Matematicheskikh Nauk) English translation: Russ. Math.
Surv. 64 (2009), no. 6, 9731078.

[231]

Probabilistic representation for solutions of an irregular porous media type
equation. (with Philippe Blanchard and Francesco Russo), Ann. Prob.
38 (2010), no. 5, 18701900.

[232]

Large deviations for stochastic tamed 3DNavierStokes equations
(with TuSheng Zhang and Xicheng Zhang), Appl. Math. Optim. 61 (2010),
no. 2, 267285.

[233]

Weak uniqueness of FokkerPlanck equations with degenerate and bounded
coefficients (with Xicheng Zhang), C. R. Acad. Sci. Paris, Serié I
(2010), no. 78, 435438.

[234]

BV functions in a Gelfand triple and the stochastic reflection problem on
a convex set of a Hilbert space (with Rongchan Zhu and Xiangchan Zhu), C.
R. Acad. Sci. Paris, Serié I 348 (2010), no. 2122, 11751178.

[235]

Wellposedness and asymptotic behavior for stochastic reactiondiffusion
equations with multiplicative Poisson noise (with Carlo Marinelli),
Electron. J. Probab. 15 (2010), no. 49, 15291555.

[236]

LogHarnack inequality for stochastic differential equations in Hilbert
spaces and its consequences (with FengYu Wang), IDAQP 13 (2010),
no. 1, 2737.

[237]

On
uniqueness of mild solutions for dissipative stochastic evolution equations
(with Carlo Marinelli), IDAQP 13 (2010), no. 3, 363376.

[238]

Existence and uniqueness of solutions for FokkerPlanck equations on
Hilbert spaces (with Vladimir I. Bogachev and Giuseppe Da Prato), J.
Evol. Equ. 10 (2010), no. 3, 487509.

[239]

Regular dependence on initial data for stochastic evolution equations with
multiplicative Poisson noise (with Carlo Marinelli and Claudia
Prévôt), J. Funct. Anal. 258 (2010), no. 2, 616649.

[240]

Stochastic partial differential equations in Hilbert space with locally
monotone coefficients (with Wei Liu), J. Funct. Anal. 259 (2010),
no. 11, 29022922.

[241]

Nonlinear evolution equations for measures on infinite dimensional spaces
(with Vladimir I. Bogachev, Giuseppe Da Prato, and Stanislav V.
Shaposhnikov), vol. 25, Quad. Mat., Dept. Math., Seconda Univ. Napoli,
Caserta, 2010, In Stochastic partial differential equations and
applications, pp. 5164.

[242]

Nonlinear
evolution for measures on infinite dimensional spaces (with Vladimir I.
Bogachev, Giuseppe Da Prato, and Stanislav V. Shaposhnikov), Stoch. PDE:
Quad. Mat. 25 (2010), 5164.

[243]

Existence results for FokkerPlanck equations in Hilbert spaces (with
Vladimir I. Bogachev and Giuseppe Da Prato), Progress in Probability,
vol. 63, 2011, pp. 2335.

[244]

Cores for generators of some Markov semigroups (with Giuseppe Da Prato),
Proceedings of the Centennial Conference "Alexandra Muller" Mathematical
Seminar, Iasi, Romania, 2126 June 2010 (Viorel Barbu and Ovidiu Carja,
eds.), 2011, pp. 8797.

[245]

From resolvents to càdlàg processes through compact excessive functions
and applications to singular SDE on Hilbert spaces (with Lucian
Beznea), Bull. Sci. Math. 135 (2011), no. 67, 844870.

[246]

The global random attractor for a class of stochastic porous media
equations (with WolfJürgen Beyn, Benjamin Gess, and Paul Lescot),
Comm. PDE 36 (2011), no. 3, 446469.

[247]

Uniqueness for solutions of FokkerPlanck equations on infinite
dimensional spaces (with Vladimir I. Bogachev and Giuseppe Da Prato), Comm.
PDE 36 (2011), no. 6, 925939.

[248]

Applications of compact superharmonic functions: Path regularity and
tightness of capacities (with Lucian Beznea), Compl. Anal. Oper. Th.
5 (2011), no. 3, 731741.

[249]

Random attractors for a class of stochastic partial differential equations
driven by general additive noise (with Benjamin Gess and Wei Liu), J. Diff.
Equations 251 (2011), no. 45, 12251253.

[250]

On
a random scaled porous media equation (with Viorel Barbu), J. Diff.
Equations 251 (2011), no. 9, 24942514.

[251]

Potential theory of infinite dimensional Lèvy processes (with Lucian
Beznea and A. Cornea), J. Funct. Anal. 261 (2011), no. 10, 28452876.

[252]

On
uniqueness problems related to elliptic equations for measures (with
Vladimir I. Bogachev and Stanislav V. Shaposhnikov), J. Math. Sci. 176
(2011), no. 6, 759773.

[253]

On
uniqueness problems related to the FokkerPlanckKolmogorov equation
for measures (with Vladimir I. Bogachev and Stanislav V. Shaposhnikov), J.
Math. Sci. 179 (2011), no. 1, 747.

[254]

Dimensionindependent Harnack inequalities for subordinated semigroups
(with Maria Gordina and FengYu Wang), Pot. Anal. 34 (2011), no. 3,
293307.

[255]

Probabilistic representation for solutions of an irregular porous media type
equation: the degenerate case. (with Viorel Barbu and Francesco Russo),
Prob. Th. Rel. Fields 151 (2011), no. 12, 143.

[256]

The stochastic reflection problem on an infinite dimensional convex set and
BV functions in a Gelfand triple (with Rongchan Zhu and Xiangchan Zhu),
Ann. Prob. 40 (2012), no. 4, 17591794.

[257]

Well posedness of FokkerPlanck equations for generators of
timeinhomogeneous Markovian transition probabilities (with Giuseppe
Da Prato), Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 23 (2012),
no. 4, 361376.

[258]

Stochastic porous media equations and selforganized criticality: convergence
to the critical state in all dimensions (with Viorel Barbu), Commun. Math.
Phys. 311 (2012), no. 2, 539555.

[259]

On positive and probability solutions to the stationary
FokkerPlanckKolmogorov equation (with Vladimir I. Bogachev and
Stanislav V. Shaposhnikov), Doklady Math. Russian Acad. Sci. (2012), no. 85,
350354.

[260]

Localization of solutions to stochastic porous media equations: finite speed
of propagation (with Viorel Barbu), Electron. J. Probab. 17 (2012),
no. 10, 110.

[261]

Stochastic quasigeostrophic equations (with Rongchan Zhu and Xiangchan
Zhu), IDAQP 15 (2012), no. 1, 1250001112500016.

[262]

Phase transitions and quantum effects in anharmonic crystals (with Sergio
Albeverio, Yuri Kozitsky, and Yuri G. Kondratiev), Int. J. Mod. Phys. B
26 (2012), no. 11, 12500631125006332.

[263]

Regularity analysis for stochastic partial differential equations with
nonlinear multiplicative trace class noise (with Arnulf Jentzen), J. Diff.
Equations 252 (2012), no. 1, 114136.

[264]

Stochastic 3Dtamed NavierStokes equation: existence, uniqueness and
small time large deviation principles (with TuSheng Zhang), J. Diff.
Equations 252 (2012), no. 1, 716744.

[265]

Strong uniqueness for both Dirichlet operators and stochastic dynamics for
Gibbs measures on a path space with exponential interactions (with Sergio
Albeverio and Hiroshi Kawabi), J. Funct. Anal. 262 (2012), no. 2,
602638.

[266]

Finite time extinction of solutions to fast diffusion equations driven by
linear multiplicative noise (with Viorel Barbu and Giuseppe Da Prato), J.
Math. Anal. Appl. 389 (2012), no. 1, 147164.

[267]

Harnack inequalities and applications for OrnsteinUhlenbeck semigroups
with jumps (with ShunXiang Ouyang and FengYu Wang), Pot. Anal. 36
(2012), no. 2, 301315.

[268]

Gibbs measures of continuous systems: An analytic approach (with Yuri G.
Kondratiev and Tatiana Pasurek), Rev. Math. Phys. 24 (2012), no. 10,
12500261125002654.

[269]

Strong uniqueness for stochastic evolution equations in Hilbert spaces with
bounded measurable drift (with Giuseppe Da Prato, Franco Flandoli, and
Enrico Priola), Ann. Prob. 41 (2013), no. 5, 33063344.

[270]

Stochastic variational inequalities and applications to the total variation
flow perturbed by linear multiplicative noise (with Viorel Barbu), Arch.
Rational Mech. Anal. 209 (2013), no. 3, 797834.

[271]

FokkerPlanck equations for SPDE with nontrace class noise (with
Giuseppe Da Prato and Franco Flandoli), Commun. Math. Stat. 1 (2013),
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Local and global wellposedness of SPDE with generalized coercivity
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The finite speed of propagation for solutions to nonlinear stochastic wave
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Gibbs states over the cone of discrete measures (with Dennis Hagedorn,
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General extinction results for stochastic partial differential equations and
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On
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Uniqueness for continuity equations in Hilbert spaces with weakly
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An
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BV functions in a Gelfand triple for differentiable measures and its
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A
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About the infinite dimensional skew and obliquely reflected
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On
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The stochastic porous media equations in R^{d} (with Viorel Barbu and
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Uniqueness problems for Degenerate FokkerPlanckKolmogorov
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Strong uniqueness for stochastic evolution equations with unbounded
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An
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linear multiplicative noise (with Viorel Barbu), JEMS 17 (2015),
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[301]

Existence and uniqueness of solutions to stochastic functional differential
equations in infinite dimensions (with Rongchan Zhu and Xiangchan Zhu),
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[302]

On
the existence of the dual right Markov process and applications (with
Lucian Beznea), Pot. Anal. 42 (2015), no. 3, 617627.

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Singulardegenerate multivalued stochastic fast diffusion equations (with
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Stochastic Porous Media Equations (with Viorel Barbu and Giuseppe
Da Prato), monograph, Lecture Notes in Mathematics 2163, Springer, 2016,
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Strong uniqueness for SDEs in Hilbert spaces with nonregular drift
(with Giuseppe Da Prato, Franco Flandoli, and Alexander Veretennikov), Ann.
Prob. 44 (2016), no. 3, 19852023.

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Nonsymmetric distorted Brownian motion: strong solutions, strong Feller
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[307]

Estimates of distances between transition probabilities of diffusions
(with Vladimir I. Bogachev and Stanislav V. Shaposhnikov), Doklady Math.
Russian Acad. Sci. (2016), no. 93, 135139.

[308]

On
the maximal inequalities of Burkholder, Davis and Gundy (with Carlo
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Time inhomogeneous generalized Mehler semigroups and skew convolution
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Distances between transition probabilities of diffusions and applications to
nonlinear FokkerPlanckKolmogorov equations (with Vladimir I.
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Stochastic nonlinear Schrödinger equations (with Viorel Barbu and
Deng Zhang), Nonlinear Anal. Theory Methods Appl. 136 (2016), 168194.

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Backward uniqueness of stochastic parabolic like equations driven by
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Doubly probabilistic representation for the stochastic porous media type
equation (with Viorel Barbu and Francesco Russo), Ann. Inst. Henri
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Ergodicity for the stochastic quantization problems on the 2Dtorus (with
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Closability of quadratic forms associated to invariant probability measures
of SPDEs (with FengYu Wang), IDAQP 20 (2017), no. 4,
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Global solutions to random 3D vorticity equations for small initial data
(with Viorel Barbu), J. Diff. Equations 263 (2017), no. 9, 53955411.

[317]

Stochastic nonlinear Schrödinger equations: no blowup in the
nonconservative case (with Viorel Barbu and Deng Zhang), J. Diff.
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[318]

Uniqueness for a class of stochastic FokkerPlanck and porous media
equations (with Francesco Russo), J. Evol. Equ. 17 (2017), no. 3,
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Restricted Markov uniqueness for the stochastic quantization of p(phi)_{2}
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272 (2017), no. 10, 42634303.

[320]

The stochastic logarithmic Schrödinger equation (with Viorel Barbu
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A
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linear multiplicative noise (with Viorel Barbu), Stoch. PDE: Anal. Comp.
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Stochastic variational inequalities and regularity for degenerate stochastic
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Optimal bilinear control of nonlinear stochastic Schrödinger equations
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Stochastic Heat Equations with Values in a Riemannian Manifold
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Convergence to stationary measures in nonlinear
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Total variation flow perturbed by gradient linear multiplicative noise
(with I. Munteanu), IDAQP 21 (2018), no. 1, 1850003, 28pp.

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Nonlinear FokkerPlanck equations driven by Gaussian linear
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The Poisson equation and estimates for distances between stationary
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Heat kernel estimates for an operator with a singular drift and isoperimetric
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QuasiLinear (Stochastic) Partial Differential Equations with
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Probabilistic representation for solutions to nonlinear FokkerPlanck
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Variational solutions to nonlinear stochastic differential equations in
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Irreducible recurrence, ergodicity, and extremality of invariant measures for
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Stochastic porous media equation on general measure spaces with increasing
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Kolmogorov operatos and SPDEs (with Viorel Barbu, Vladimir I.
Bogachev, and Stanislav V. Shaposhnikov), Spectral Structures and
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A
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semigroups (with Lucian Beznea and Iulian Cîmpean), Ann. Inst. Henri
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Scattering for Stochastic Nonlinear Schrödinger Equations (with
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Nonlinear FokkerPlanck equations for Probability Measures on
Path Space and PathDistribution Dependent SDEs (with Xing
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A remark on global solutions to random 3D vorticity equations for small
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Global solutions for random vorticity equations perturbed by gradient
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On convergence to stationary distributions for solutions of nonlinear
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A
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A natural extension of Markov
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From nonlinear FokkerPlanck equations to solutions of distribution
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time dependent locally Lipschitz coefficients (with Wei Liu, Xiaobin Sun,
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On the
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OrnsteinUhlenbeck
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Optimal control of nonlinear stochastic differential equations on Hilbert
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Stochastic Heat Equations with Values in a Manifold via Dirichlet
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52 (2020), no. 3, 50.

[354]

Uniqueness for nonlinear FokkerPlanck equations and weak uniqueness for
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Continuity equation in LlogL for the 2D Euler equations under the
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Conservative stochastic 2dimensional CahnHilliard equation (with
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Strong convergence order for slowfast McKeanVlasov stochastic
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Diffusion approximation for fully coupled stochastic differential equations
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WellPosedness of Distribution Dependent SDES with Singular
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Averaging principle and normal deviations for multiscale stochastic
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A
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Euler scheme for density dependent stochastic differential equations
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uncertain communications (with SeungYeal Ha and Jinwook Jung), J. Diff.
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Solutions for nonlinear FokkerPlanck equations with measures as initial
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Schauder theorems for a class of (pseudo)differential operators on finite
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On a class of infinitedimensional singular stochastic control problems
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Convergent numerical approximation of the stochastic total variation flow
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The structure of entrance laws for timeinhomogeneous OrnsteinUhlenbeck
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The evolution to equilibrium of solutions to nonlinear FokkerPlanck
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Upper envelopes of Feller semigroups and viscosity solutions to a class
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Strong dissipativity of generalized timefractional derivatives and
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Nonautonomous mild solutions for SPDE with Levy noise in weighted
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Strong averaging principle for slowfast stochastic partial differential
equations with locally monotone coefficients (with Wei Liu, Xiaobin Sun,
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Linearization of nonlinear FokkerPlanck equations and applications
(with Panpan Ren and FengYu Wang), BiBoSPreprint 1905550, publication
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Strong and weak convergence in the averaging principle for SDEs with
Hölder coefficients (with Xiaobin Sun and Longjie Xie), BiBoSPreprint
1907557, publication in preparation, 30 pp., 2019.

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SDEs with singular drifts and multiplicative noise on general spacetime
domains (with Chengcheng Ling and Xiangchan Zhu), BiBoSPreprint
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Strong uniqueness for Dirichlet operators related to stochastic
quantization under exponential/trigonometric interactions on the
twodimensional torus (with Sergio Albeverio, Hiroshi Kawabi, and
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Asymptotic behavior of multiscale stochastic partial differential equations
(with Longjie Xie and Li Yang), BiBoSPreprint 2009573, publication in
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Averaging principle and normal deviations for multiscale stochastic
hyperbolicparabolic equations (with Longjie Xie and Li Yang),
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SDEs with critical time dependent drifts: weak solutions (with
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SDEs with critical time dependent drifts: strong solutions (with
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A unified approach to gradient type formulas for BSDEs and some
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The invariance principle for nonlinear FokkerPlanck equations (with
Viorel Barbu), BiBoSPreprint 2105585, publication in preparation,
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Stochastic Generalized Porous Media Equations over sigmafinite
Measure Spaces with Noncontinuous Nonlinearity (with Weina Wu and
Yingchao Xie), BiBoSPreprint 2107586, publication in preparation,
38 pp., 2021.
