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[1]
|
Markov property of generalized fields and axiomatic potential theory,
Math. Ann. 264 (1983), 157-177.
|
|
[2]
|
Self-adjoint harmonic spaces and Dirichlet forms, Hiroshima Math. J.
14 (1984), 55-66.
|
|
[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. 119-144.
|
|
[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. 197-215.
|
|
[5]
|
Generalized Markov fields and Dirichlet forms, Acta Appl. Math.
3 (1985), 285-311.
|
|
[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), 105-135.
|
|
[8]
|
On the transition function of the infinite dimensional
Ornstein-Uhlenbeck process given by the free quantum field, Potential
Theory (J. Kral et al., eds.), Plenum Press, New York, London, 1988,
pp. 277-293.
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[9]
|
footnotetextbfThis paper was awarded the Heinz-Mayer-Leibnitz 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), 211-249.
|
|
[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. 14-31.
|
|
[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. 1-21.
|
|
[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. 1-42.
|
|
[13]
|
Classical Dirichlet forms on topological vector spaces: construction of
an associated diffusion process (with Sergio Albeverio), Prob. Th. Rel.
Fields 83 (1989), 405-434.
|
|
[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. 1-21.
|
|
[15]
|
New developments in theory and applications of Dirichlet forms (with
Sergio Albeverio), Ascona/Locarno, Switzerland, 4-9 July 1988 (Sergio
Albeverio et al., eds.), Stochastic processes, physics and geometry, World
Scientific, Singapore, 1990, pp. 27-76.
|
|
[16]
|
The Dirichlet problem for quasi-linear 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. 301-326.
|
|
[17]
|
Dirichlet forms and Markov fields: a report on recent developments
(with Sergio Albeverio and Zhi-Ming Ma), Diffusion processes and related
problems in Analysis, vol. 1, Birkhäuser, Boston, 1990, pp. 325-347.
|
|
[18]
|
Dirichlet forms on topological vector spaces: closability and a
Cameron-Martin formula (with Sergio Albeverio), J. Funct. Anal.
88 (1990), 395-436.
|
|
[19]
|
On the contraction property of energy forms on infinite dimensional space
(with Jürgen Potthoff), J. Funct. Anal. 92 (1990), 155-165.
|
|
[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), 122-136.
|
|
[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), 291-312.
|
|
[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), 313-323.
|
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[23]
|
Potential theory on non-locally compact space via Dirichlet forms,
Potential Theory (M. Kishi, ed.), W. de Gruyter & Co., Berlin, New
York, 1991, Invited Lecture, pp. 107-126.
|
|
[24]
|
Decomposition of Dirichlet processes on Hilbert space (with Tu-Sheng
Zhang), Stochastic Analysis (M. T. Barlow and N.H. Bingham, eds.), Cambridge
University Press, Cambridge, 1991, pp. 321-332.
|
|
[25]
|
Capacities on Wiener space: tightness and invariance (with Sergio
Albeverio, Masatoshi Fukushima, Wolfhard Hansen, and Zhi-Ming Ma), C. R.
Acad. Sci. Paris, Serié I 312 (1991), 931-935.
|
|
[26]
|
Stochastic differential equations in infinite dimensions: solutions via
Dirichlet forms (with Sergio Albeverio), Prob. Th. Rel. Fields 89
(1991), 347-386.
|
|
[27]
|
Introduction to the theory of (non-symmetric) Dirichlet forms (with
Zhi-Ming 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. 131-186.
|
|
[29]
|
A Beurling-Deny type structure theorem for Dirichlet forms on
general state spaces (with Sergio Albeverio and Zhi-Ming 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 Høegh-Krohn (1938-1988), pp. 115-123.
|
|
[30]
|
On the parabolic Martin boundary of the Ornstein-Uhlenbeck operator
on Wiener space, Ann. Prob. 20 (1992), 1063-1085.
|
|
[31]
|
A note on tightness of capacities associated with Dirichlet forms (with
Terry Lyons), Bull. London Math. Soc. 24 (1992), 181-184.
|
|
[32]
|
Non-symmetric Dirichlet forms and Markov processes on general state
space (with Sergio Albeverio and Zhi-Ming Ma), C. R. Acad. Sci. Paris,
Serié I 314 (1992), 77-82.
|
|
[33]
|
Regularization of Dirichlet spaces and applications (with Sergio
Albeverio and Zhi-Ming Ma), C. R. Acad. Sci. Paris, Serié I 314
(1992), 859-864.
|
|
[34]
|
Capacités gaussiennes sont portées par des compacts
métrisables (with Vladimir I. Bogachev), C. R. Acad. Sci. Paris,
Serié I 315 (1992), 197-202.
|
|
[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), 603-608.
|
|
[36]
|
Uniqueness of generalized Schrödinger operators and applications
(with Tu-Sheng Zhang), J. Funct. Anal. 105 (1992), 187-231.
|
|
[37]
|
An invariance result for capacities on Wiener space (with Sergio
Albeverio, Masatoshi Fukushima, Wolfhard Hansen, and Zhi-Ming Ma), J. Funct.
Anal. 106 (1992), 35-49.
|
|
[38]
|
Tightness of general C1,p-capacities on Banach space (with
Byron Schmuland), J. Funct. Anal. 108 (1992), 1-12.
|
|
[39]
|
An approximate criterium of essential self-adjointness of Dirichlet
operators (with Sergio Albeverio and Yuri G. Kondratiev), Pot. Anal. 1
(1992), 307-317.
|
|
[40]
|
A remark on the support of cadlag processes (with Sergio Albeverio and
Zhi-Ming Ma), Stochastic Processes. A Festschrift in Honour of G.
Kallianpur (S. Cambanis et al., eds.), Springer, Berlin, 1993, pp. 1-5.
|
|
[41]
|
General theory of Dirichlet forms and applications, Dirichlet Forms,
Varenna 1992 (G. Dell'Antonio and U. Mosco, eds.), Springer, Berlin, 1993,
pp. 129-193.
|
|
[42]
|
Markov uniqueness for a class of infinite dimensional Dirichlet
operators (with Sergio Albeverio and Tu-Sheng Zhang), Stochastic Processes
and Optimal Control (H. J. Engelbert et al., eds.), Stochastic Monographs,
vol. 7, Gordon & Breach, 1993, pp. 1-26.
|
|
[43]
|
Girsanov transform for symmetric diffusions with infinite dimensional
state space (with Sergio Albeverio and Tu-Sheng Zhang), Ann. Prob. 21
(1993), 961-978.
|
|
[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), 287-292.
|
|
[45]
|
Markov uniqueness and its applications to martingale problems,
stochastic differential equations and stochastic quantization (with Sergio
Albeverio and Tu-Sheng Zhang), C. R. Math. Rep. Acad. Sci. Canada XV
(1993), 1-6.
|
|
[46]
|
Quasi-regular Dirichlet forms and Markov processes (with Sergio
Albeverio and Zhi-Ming Ma), J. Funct. Anal. 111 (1993), 118-154.
|
|
[47]
|
Local property of Dirichlet forms and diffusions on general state
spaces (with Sergio Albeverio and Zhi-Ming Ma), Math. Ann. 296 (1993),
677-686.
|
|
[48]
|
Addendum to citealb-kon-roe:pa:92 (with Sergio Albeverio and Yuri G.
Kondratiev), Pot. Anal. 2 (1993), 195-198.
|
|
[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. 1-10.
|
|
[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. 1-34.
|
|
[51]
|
Hypoellipticity and invariant measures of infinite dimensional diffusions
(with Vladimir I. Bogachev), C. R. Acad. Sci. Paris, Serié I 318
(1994), 553-558.
|
|
[52]
|
Uniqueness of generalized Schrödinger operators: Part II (with
Tu-Sheng Zhang), J. Funct. Anal. 119 (1994), 455-467.
|
|
[53]
|
Quasi-homeomorphisms of Dirichlet forms (with Z. Q. Chen and Zhi-Ming
Ma), Nagoya Math. J. 136 (1994), 1-15.
|
|
[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. 1-12.
|
|
[55]
|
Potential theory of quasi-regular Dirichlet forms without capacity
(with Sergio Albeverio and Zhi-Ming Ma), Dirichlet Forms and Stochastic
Processes (Zhi-Ming Ma et al., eds.), de Gruyter, Berlin, 1995, pp. 47-53.
|
|
[56]
|
A remark on quasi-Radon measures (with Sergio Albeverio and Zhi-Ming
Ma), International Conference, Locarno, Switzerland, 24-29 June, 1991
(S. Albeverio et al., eds.), Stochastic Processes: Physics and Geometry II,
World Scientific, Singapore, 1995, pp. 75-85.
|
|
[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. 513-528.
|
|
[58]
|
A remark on coercive forms and associated semigroups (with Sergio
Albeverio, Ru-Zhong Fan, and Wilhelm Stannat), Partial differential operators
and mathematical physics, Operator Theory Advances and Applications, vol. 78,
Birkhäuser, Basel, 1995, pp. 1-8.
|
|
[59]
|
An analytic approach to Fleming-Viot processes with interactive
selection (with Ludger Overbeck and Byron Schmuland), Ann. Prob. 23
(1995), 1-36.
|
|
[60]
|
Quasi-regular Dirichlet forms: examples and counterexamples (with
Byron Schmuland), Can. J. Math. 47 (1995), 165-200.
|
|
[61]
|
Markov processes associated with positivity preserving forms (with
Zhi-Ming Ma), Can. J. Math. 47 (1995), 817-840.
|
|
[62]
|
Dirichlet operators via stochastic analysis (with Sergio Albeverio and
Yuri G. Kondratiev), J. Funct. Anal. 128 (1995), 102-138.
|
|
[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), 10-20.
|
|
[64]
|
Regularity of invariant measures on finite and infinite dimensional spaces
and applications (with Vladimir I. Bogachev), J. Funct. Anal. 133
(1995), 168-223.
|
|
[65]
|
Mehler formula and capacities for infinite dimensional
Ornstein-Uhlenbeck processes with general linear drift (with
Vladimir I. Bogachev), Osaka J. Math. 32 (1995), 237-274.
|
|
[66]
|
Markov processes associated with semi-Dirichlet forms (with Zhi-Ming
Ma and Ludger Overbeck), Osaka J. Math. 32 (1995), 97-119.
|
|
[67]
|
Characterization of (non-symmetric) Dirichlet forms associated with
Hunt processes (with Sergio Albeverio and Zhi-Ming Ma), Rand. Op. Stoch.
Eq. 3 (1995), 161-179.
|
|
[68]
|
Differential geometry of Poisson spaces (with Sergio Albeverio and
Yuri G. Kondratiev), C. R. Acad. Sci. Paris, Serié I 323 (1996),
1129-1134.
|
|
[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), 1179-1184.
|
|
[70]
|
Regularity of invariant measures: the case of non-constant diffusion part
(with Vladimir I. Bogachev and Nicolai V. Krylov), J. Funct. Anal. 138
(1996), 223-242.
|
|
[71]
|
Regularity of invariant measures for a class of perturbed
Ornstein-Uhlenbeck operators (with Vladimir I. Bogachev and Giuseppe
Da Prato), Nonlin. Diff. Eq. Appl. 3 (1996), 261-268.
|
|
[72]
|
Generalized Mehler semigroups and applications (with Vladimir I. Bogachev
and Byron Schmuland), Prob. Th. Rel. Fields 105 (1996), 193-225.
|
|
[73]
|
Martingale decomposition of Dirichlet processes on the Banach space
C0[0,1] (with Terry Lyons and Tu-Sheng Zhang), Stoch. Proc. Appl.
64 (1996), 31-38.
|
|
[74]
|
Finite dimensional approximation of diffusion processes on infinite
dimensional state spaces (with Tu-Sheng Zhang), Stoch. Stoch. Rep. 57
(1996), 37-55.
|
|
[75]
|
Elliptic regularity and essential self-adjointness of Dirichlet operators
on mathbb Rd (with Vladimir I. Bogachev and Nicolai V. Krylov), Ann.
Scuola Norm. Sup. Pisa Cl. Sci., Serie IV XXIV (1997), no. 3, 451-461.
|
|
[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), 1401-1406.
|
|
[77]
|
Dobrushin's uniqueness for quantum lattice systems with non-local
interaction (with Sergio Albeverio, Yuri G. Kondratiev, and Tatjana V.
Tsikalenko), Commun. Math. Phys. 189 (1997), 621-630.
|
|
[78]
|
Partitions of unity in Sobolev spaces over infinite dimensional state
spaces (with Sergio Albeverio and Zhi-Ming Ma), J. Funct. Anal. 143
(1997), 247-268.
|
|
[79]
|
Ergodicity of L2-semigroups and extremality of Gibbs states (with
Sergio Albeverio and Yuri G. Kondratiev), J. Funct. Anal. 144 (1997),
394-423.
|
|
[80]
|
Ergodicity for the stochastic dynamics of quasi-invariant measures with
applications to Gibbs states (with Sergio Albeverio and Yuri G.
Kondratiev), J. Funct. Anal. 149 (1997), 415-469.
|
|
[81]
|
Convergence of operator semigroups generated by elliptic operators (with
Tu-Sheng Zhang), Osaka J. Math. 34 (1997), 923-932.
|
|
[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), 193-218.
|
|
[83]
|
Geometric aspects of finite and infinite dimensional Fleming-Viot
processes (with Ludger Overbeck), Rand. Op. Stoch. Eq. 5 (1997),
35-58.
|
|
[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. 157-231.
|
|
[85]
|
Dirichlet forms on infinite dimensional "manifold-like" 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. 287-306.
|
|
[86]
|
On the strong Feller property of semigroups generated by non-divergence
operators with Lp-drifts (with Tu-Sheng Zhang), Stochastic Analysis
and Related Topics (L. Decreusefond et al., eds.), vol. VI, Birkhäuser,
1998, pp. 401-408.
|
|
[87]
|
Approximation of arbitrary Dirichlet processes by Markov chains (with
Zhi-Ming Ma and Tu-Sheng Zhang), Ann. Inst. Henri Poincaré 34
(1998), 1-22.
|
|
[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,
69-91.
|
|
[89]
|
A support property for infinite dimensional interacting diffusion processes
(with Byron Schmuland), C. R. Acad. Sci. Paris, Serié I 326 (1998),
359-364.
|
|
[90]
|
Analysis and geometry on configuration spaces (with Sergio Albeverio and
Yuri G. Kondratiev), J. Funct. Anal. 154 (1998), 444-500.
|
|
[91]
|
Analysis and geometry on configuration spaces. The Gibbsian case (with
Sergio Albeverio and Yuri G. Kondratiev), J. Funct. Anal. 157 (1998),
242-291.
|
|
[92]
|
Lp-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. 65-116.
|
|
[93]
|
Existence of invariant measures for diffusion processes on Banach
spaces (with Tu-Sheng Zhang), Progress in Probability, vol. 45,
Birkhäuser, Basel, 1999, pp. 261-265.
|
|
[94]
|
Stochastic quantization of the two-dimensional polymer measure (with
Sergio Albeverio, Yao-Zhong Hu, and Xian Yin Zhou), Appl. Math. Optim.
40 (1999), 341-354.
|
|
[95]
|
A-priori 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), 1049-1054.
|
|
[96]
|
Elliptic equations for infinite dimensional probability distributions and
Lyapunov functions (with Vladimir I. Bogachev), C. R. Acad. Sci. Paris,
Serié I 329 (1999), 705-710.
|
|
[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), 325-362.
|
|
[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), 421-444.
|
|
[99]
|
Probabilistic representation and hyperbound estimates for semigroups (with
Tu-Sheng Zhang), IDAQP 2 (1999), 337-358.
|
|
[100]
|
Dirichlet operators with variable coefficients in Lp-spaces of
functions of infinitely many variables (with Vitali I. Liskevich and Zeev
Sobol), IDAQP 2 (1999), 487-502.
|
|
[101]
|
Fluctuations and their Glauber dynamics in lattice systems (with Sergio
Albeverio, Alexei Daletskii, and Yuri G. Kondratiev), J. Funct. Anal.
166 (1999), 148-167.
|
|
[102]
|
Rademacher's theorem on configuration spaces and applications (with
Alexander Schied), J. Funct. Anal. 169 (1999), 325-356.
|
|
[103]
|
On the martingale problem for pseudo-differential operators on infinite
dimensional spaces (with Vladimir I. Bogachev and Paul Lescot), Nagoya Math.
J. 153 (1999), 101-118.
|
|
[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), 1-24.
|
|
[105]
|
L1-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. 350-358.
|
|
[106]
|
Uniqueness of invariant measures and essential m-dissipativity of diffusion
operators on L1 (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. 39-54.
|
|
[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. 243-254.
|
|
[108]
|
Diffusions on "simple" configuration spaces (with Zhi-Ming 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. 255-270.
|
|
[109]
|
Approximation of Hunt processes by multivariate Poisson processes (with
Zhi-Ming Ma and Wei Sun), Acta Appl. Math. 63 (2000), 233-243.
|
|
[110]
|
Stochastic dynamics of compact spins: ergodicity and irreducibility (with
Sergio Albeverio, Alexei Daletskii, and Yuri G. Kondratiev), Acta Appl. Math.
63 (2000), 27-40.
|
|
[111]
|
Existence and uniqueness of invariant measures: an approach via sectorial
forms (with Vladimir I. Bogachev and Tu-Sheng Zhang), Appl. Math. Optim.
41 (2000), 87-109.
|
|
[112]
|
A-priori 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), 366-400.
|
|
[113]
|
Construction of diffusions on configuration spaces (with Zhi-Ming Ma),
Osaka J. Math. 37 (2000), 273-314.
|
|
[114]
|
Generalized Mehler semigroups: The non-Gaussian case (with Marco
Fuhrman), Pot. Anal. 12 (2000), 1-47.
|
|
[115]
|
Ray Hölder-continuity for fractional Sobolev spaces in infinite
dimensions and applications (with Jiagang Ren), Prob. Th. Rel. Fields
117 (2000), 201-220.
|
|
[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, 43-69.
|
|
[117]
|
Lp-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, 285-309.
|
|
[118]
|
Elliptic equations for invariant measures on Riemannian manifolds:
existence and regularity of solutions (with Vladimir I. Bogachev and
Feng-Yu Wang), C. R. Acad. Sci. Paris, Serié I 332 (2001),
333-338.
|
|
[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), 1005-1009.
|
|
[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), 2037-2080.
|
|
[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), 18-21, translated from
Doklady Akademii Nauk., vol. 376 (2001), 151-154.
|
|
[122]
|
Elliptic equations associated with invariant measures of diffusions on
finite- and infinite-dimensional manifolds (with Vladimir I. Bogachev and
Feng-Yu Wang), Doklady Math. Russian Acad. Sci. 63 (2001), 351-354,
translated from Doklady Akademii Nauk., vol. 378 (2001), 439-442.
|
|
[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), 489-509.
|
|
[124]
|
Stochastic dynamics of fluctuations in classical continuous systems (with
Sergio Albeverio, Martin Grothaus, and Yuri G. Kondratiev), J. Funct. Anal.
185 (2001), 129-154.
|
|
[125]
|
Poincaré inequality for weighted first order Sobolev spaces on loop
spaces (with Fu-Zhou Gong and Li-Ming Wu), J. Funct. Anal. 185
(2001), 527-563.
|
|
[126]
|
Weak Poincaré inequalities and L2-convergence rates of Markov
semigroups (with Feng-Yu Wang), J. Funct. Anal. 185 (2001), 564-603.
|
|
[127]
|
Elliptic equations for invariant measures on finite and infinite dimensional
manifolds (with Vladimir I. Bogachev and Feng-Yu Wang), J. Math. Pures
Appl. 80 (2001), 177-221.
|
|
[128]
|
On a relation between intrinsic and extrinsic Dirichlet forms for
interacting particle systems (with Yuri G. Kondratiev and Jose-Luis
da Silva), Math. Nachrichten 222 (2001), 141-157.
|
|
[129]
|
Euclidean Gibbs states of quantum crystals (with Sergio Albeverio,
Yuri G. Kondratiev, and Tatiana Pasurek), Moscow Math. J. 1 (2001),
1-7, (English version), 307-313 (Russian version).
|
|
[130]
|
Elliptic equations for measures on infinite dimensional spaces and
applications (with Vladimir I. Bogachev), Prob. Th. Rel. Fields 120
(2001), 445-496.
|
|
[131]
|
Glauber dynamics for quantum lattice systems (with Sergio Albeverio,
Yuri G. Kondratiev, and Tatjana V. Tsikalenko), Rev. Math. Phys. 13
(2001), 51-124.
|
|
[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. 69-87.
|
|
[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), 693-698.
|
|
[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), 157-160.
|
|
[135]
|
Invariant measures of stochastic gradient systems in Riemannian
manifolds and Gibbs measures (with Vladimir I. Bogachev and Feng-Yu Wang),
Dokl. Math. (Dokl. Russian Acad. Sci.) 66:2 (2002), 179-183.
|
|
[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), 192-196.
|
|
[137]
|
Generators of Mehler-type semigroups as pseudo-dif-feren-tial operators
(with Paul Lescot), IDAQP 5 (2002), 297-315.
|
|
[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), 61-86.
|
|
[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), 3-36, (Russian version), 945-976
(English version).
|
|
[140]
|
Singular dissipative stochastic equations in Hilbert spaces (with
Giuseppe Da Prato), Prob. Th. Rel. Fields 124 (2002), 261-303.
|
|
[141]
|
Euclidean Gibbs states of quantum lattice systems (with Sergio Albeverio,
Yuri G. Kondratiev, and Yuri Kozitsky), Rev. Math. Phys. 14:12 (2002),
1335-1401.
|
|
[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), 363-378, translated from Th. Prob. Appl., vol. 45 (2000)
417-436.
|
|
[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. 475-486.
|
|
[145]
|
Scaling limits of stochastic dynamics in classical continuous systems
(with Martin Grothaus, Yuri G. Kondratiev, and Eugene Lytvynov), Ann. Prob.
31:3 (2003), 1494-1532.
|
|
[146]
|
Large deviations for invariant measures of general stochastic
reaction-diffusion systems (with Sandra Cerrai), C. R. Acad. Sci. Paris,
Serié I 337 (2003), 597-602.
|
|
[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), 69-90.
|
|
[148]
|
Quantum anharmonic crystal in functional integral approach (with Yuri G.
Kondratiev, Yuri Kozitsky, and Tatiana Pasurek), Condensed Matter Physics
6:4 (2003), 647-674.
|
|
[149]
|
Supercontractivity and ultracontractivity of (non-symmetric) diffusion
semigroups on manifolds (with Feng-Yu Wang), Forum Math. 15 (2003),
893-921.
|
|
[150]
|
Lower order perturbations of Dirichlet processes (with Tu-Sheng Zhang),
Forum Math. 15:2 (2003), 285-297.
|
|
[151]
|
Harnack and functional inequalities for generalized Mehler semigroups
(with Feng-Yu Wang), J. Funct. Anal. 203 (2003), 237-261.
|
|
[152]
|
On Lp-uniqueness of symmetric diffusion operators on Riemannian
manifolds (with Vladimir I. Bogachev), Matem. Sbornik. 194(7) (2003),
969-978.
|
|
[153]
|
Quantum stabilization in anharmonic crystals (with Sergio Albeverio,
Yuri G. Kondratiev, and Yuri Kozitsky), Phys. Rev. Lett. 90:17 (2003),
170603-170607.
|
|
[154]
|
The heat semigroup on configuration spaces (with Yuri G. Kondratiev and
Eugene Lytvynov), Publ. Res. Inst. Math. Sci., Kyoto University 39:1
(2003), 1-48.
|
|
[155]
|
L1-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. 87-105.
|
|
[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. 13-29.
|
|
[157]
|
Large deviations for stochastic reaction-diffusion systems with
multiplicative noise and non-Lipschitz reaction term (with Sandra
Cerrai), Ann. Prob. 32 (2004), no. 1B, 1100-1139.
|
|
[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, 153-190.
|
|
[159]
|
On the spectrum of a class of non-sectorial diffusion operators (with
Feng-Yu Wang), Bull. London Math. Soc. 36 (2004), 95-104.
|
|
[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,
945-949.
|
|
[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, 277-282.
|
|
[162]
|
Invariance implies Gibbsian: some new results (with Vladimir I.
Bogachev and Feng-Yu Wang), Commun. Math. Phys. 248 (2004), no. 2,
335-355.
|
|
[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), 249-271.
|
|
[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, 357-372.
|
|
[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, 1826-1848.
|
|
[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, 317-344.
|
|
[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, 753-774.
|
|
[169]
|
Sample path large deviations for diffusion processes on configuration
spaces over a Riemannian manifold (with Tu-Sheng Zhang), Publ. Res. Inst.
Math. Sci., Kyoto University 40 (2004), no. 2, 385-427.
|
|
[170]
|
PDE approach to invariant and Gibbs measures with applications,
Infinite dimensional harmonic analysis III. Proceedings of the Third
German-Japanese 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. 177-186.
|
|
[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. 29-54.
|
|
[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. 520-526.
|
|
[174]
|
Large deviations for invariant measures of stochastic reaction diffusion
systems with multiplicative noise and non-Lipschitz reaction term (with
Sandra Cerrai), Ann. Inst. Henri Poincaré 41 (2005), no. 1,
69-105.
|
|
[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, 675-678.
|
|
[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, 934-938, (English
translation; Russian version: Doklady Akademii Nauk textbf405 (2005), no.
5, 583-587).
|
|
[177]
|
Strong solutions for stochastic equations with singular time dependent
drift (with Nicolai V. Krylov), Prob. Th. Rel. Fields 131 (2005),
no. 2, 154-196.
|
|
[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, 652-674,
English translation: Theory Probab. Appl. 50 (2006), no.4, 561-581.
|
|
[179]
|
Existence and a-priori estimates for Euclidean Gibbs states (with
Sergio Albeverio, Yuri G. Kondratiev, and Tatiana Pasurek), Trans. Moscow
Math. Soc. 66 (2005), 3-101.
|
|
[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. 27-34.
|
|
[181]
|
Kolmogorov equations in infinite dimensions: well-posedness, regularity of
solutions, and applications to stochastic generalized Burgers equations
(with Zeev Sobol), Ann. Prob. 34 (2006), no. 2, 663-727.
|
|
[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, 397-403.
|
|
[183]
|
Strong solutions of stochastic generalized porous media equations: existence,
uniqueness and ergodicity (with Giuseppe Da Prato, Boris L. Rozovskii, and
Feng-Yu Wang), Comm. PDE 31 (2006), no. 2, 277-291.
|
|
[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, 9-43.
|
|
[185]
|
Markov processes associated with Lp-resolvents and applications to
stochastic differential equations on Hilbert space (with Lucian Beznea
and Nicu Boboc), J. Evol. Equ. 6 (2006), no. 4, 745-772.
|
|
[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, 54-75.
|
|
[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, 743-757.
|
|
[188]
|
Functional inequalities for particle systems on polish spaces (with Feng-Yu
Wang), Pot. Anal. 24 (2006), no. 3, 223-243.
|
|
[189]
|
Quasi-regular topologies for Lp-resolvents and semi-Dirichlet forms
(with Lucian Beznea and Nicu Boboc), Pot. Anal. 25 (2006), no. 3,
269-282.
|
|
[190]
|
Large deviations for stochastic generalized porous media equations (with
Feng-Yu Wang and Li-Ming Wu), Stoch. Proc. Appl. 116 (2006), no. 12,
1677-1689.
|
|
[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 time-dependent stochastic
differential equations (with Giuseppe Da Prato), Progress in Probability,
Vol.59 (Robert C. Dalang, Marco Dozzi, and Francesco Russo, eds.),
Birkhaeuser, 2007, pp. 115-122.
|
|
[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. 31-37.
|
|
[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, 631-640.
|
|
[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,
945-949.
|
|
[196]
|
Equilibrium Glauber and Kawasaki dynamics of continuous particle
systems (with Yuri G. Kondratiev and Eugene Lytvynov), IDAQP 10
(2007), no. 2, 185-209.
|
|
[197]
|
Concentration of invariant measures for stochastic generalized porous media
equations (with Feng-Yu Wang), IDAQP 10 (2007), no. 3, 397-409.
|
|
[198]
|
A
remark on the generator of a right-continuous Markov process (with Gerald
Trutnau), IDAQP 10 (2007), no. 4, 633-640.
|
|
[199]
|
footnotetextbfTop Cited Article 2007-2011 of J. Diff.
Equations
Stochastic generalized porous media and fast diffusion equations (with
Jiagang Ren and Feng-Yu Wang), J. Diff. Equations 238 (2007), no. 1,
118-152.
|
|
[200]
|
Essential self-adjointness of Dirichlet operators on a path space with
Gibbs measures via an SPDE approach (with Hiroshi Kawabi), J. Funct.
Anal. 242 (2007), no. 2, 486-518.
|
|
[201]
|
Stochastic evolution equations of jump type: existence, uniqueness and large
deviation principles (with Tu-Sheng Zhang), Pot. Anal. 26 (2007),
no. 3, 255-279.
|
|
[202]
|
Kusuoka-Stroock formula on configuration space and regularities for local
times with jumps (with Jiagang Ren and Xicheng Zhang), Pot. Anal. 26
(2007), 363-396.
|
|
[203]
|
N/V-limit for stochastic dynamics in continuous particle systems (with
Martin Grothaus and Yuri G. Kondratiev), Prob. Th. Rel. Fields 137
(2007), no. 1-2, 121-160.
|
|
[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,
240-270, English translation: Theory Probab. Appl. 52 (2008), no. 2,
209-236.
|
|
[205]
|
Some results on stochastic porous media equations (with Viorel Barbu and
Giuseppe Da Prato), Bollettino U.M.I. (9) I (2008), 1-15.
|
|
[206]
|
Markov processes associated with Lp-resolvents, applications to
quasi-regular Dirichlet forms and stochastic differential equations (with
Lucian Beznea and Nicu Boboc), C. R. Acad. Sci. Paris, Serié I 346
(2008), no. 5-6, 323-328.
|
|
[207]
|
On
parabolic equations for measures (with Vladimir I. Bogachev and Giuseppe
Da Prato), Comm. PDE 33 (2008), no. 1-3, 397-418.
|
|
[208]
|
Yamada-Watanabe theorem for stochastic evolution equations in infinite
dimensions (with Byron Schmuland and Xicheng Zhang), Cond. Matt. Phys.
11 (2008), no. 2, 247-259.
|
|
[209]
|
Non-equilibrium stochastic dynamics in continuum: the free case (with
Yuri G. Kondratiev and Eugene Lytvynov), Cond. Matt. Phys. 11 (2008),
no. 4, 701-721.
|
|
[210]
|
Parabolic equations for measures on infinite-dimensional spaces (with
Vladimir I. Bogachev and Giuseppe Da Prato), Doklady Math. Russian Acad. Sci.
421 (2008), no. 4, 439-444, 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, 276-280, Russian version: Dokl. Russian Akad.
textbf419 (2008), no. 5, pp. 587-591.
|
|
[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, 187-212.
|
|
[213]
|
Non-monotone stochastic generalized porous media equations (with Feng-Yu
Wang), J. Diff. Equations 245 (2008), no. 12, 3898-3935.
|
|
[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]
|
Self-organized 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. 11-19.
|
|
[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, 428-452.
|
|
[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. 1-2, 81-84.
|
|
[218]
|
Stochastic porous media equation and self-organized criticality (with
Viorel Barbu and Giuseppe Da Prato), Commun. Math. Phys. 285 (2009),
no. 3, 901-923.
|
|
[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, 156-161.
|
|
[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, 785-789.
|
|
[221]
|
Tamed 3D Navier-Stokes equation: Existence, uniqueness and regularity
(with Xicheng Zhang), IDAQP (2009), no. 4, 525-549.
|
|
[222]
|
A
Note on variational solutions to SPDE perturbed by Gaussian noise in a
general class (with Yi Wang), IDAQP 12 (2009), 353-358.
|
|
[223]
|
Fokker-Planck 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,
1269-1298.
|
|
[224]
|
Singular stochastic equations on Hilbert spaces: Harnack inequalities for
their transition semigroups (with Giuseppe Da Prato and Feng-Yu Wang), J.
Funct. Anal. 257 (2009), no. 4, 992-1017.
|
|
[225]
|
Erratum: "Singular dissipative stochastic equations in Hilbert
spaces" (with Giuseppe Da Prato), Prob. Th. Rel. Fields 143 (2009),
no. 3-4, 659-664.
|
|
[226]
|
Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and
ergodicity (with Xicheng Zhang), Prob. Th. Rel. Fields 145 (2009),
211-267.
|
|
[227]
|
Stochastic nonlinear diffusion equations with singular diffusivity (with
Viorel Barbu and Giuseppe Da Prato), SIAM J. for Math. Anal. 41 (2009),
1106-1120.
|
|
[228]
|
Martingale solutions and Markov selections for stochastic partial
differential equations (with Benjamin Goldys and Xicheng Zhang), Stoch.
Proc. Appl. 119 (2009), no. 5, 1725-1764.
|
|
[229]
|
Positive densities of transition probabilities of diffusion processes (with
Vladimir I. Bogachev and Stanislav V. Shaposhnikov), Th. Prob. Appl. 53
(2009), no. 2, 213-239, 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),
5-116, (Rossiui skaya Akademiya Nauk. Moskovskoe Matematicheskoe
Obshchestvo. Uspekhi Matematicheskikh Nauk) English translation: Russ. Math.
Surv. 64 (2009), no. 6, 973-1078.
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|
[231]
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Probabilistic representation for solutions of an irregular porous media type
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Convergent numerical approximation of the stochastic total variation flow
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Averaging principle and normal deviation for multi-scale SDEs with
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Propagation of chaos for moderately interacting particle systems related to
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p-Brownian motion and the p-Laplacian (with Viorel Barbu and
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Construction of Hunt processes by the Lyapunov method and applications
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The stochastic evolution of an infinite population with logistic-type
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Distribution-flow dependent SDEs driven by (fractional) Brownian
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Asymptotic behaviour of solutions to Fokker-Planck-Kolmogorov
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The superposition principle for solutions to
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