Menu
Contact | A-Z
img

Project A5: Stochastic evolutions in continuum


Principal Investigator(s)
Yuri Kondratiev

Summary:

The main aim of the project is the study of Markov random processes on configuration spaces in continuum. We suppose to improve existing and to develop new methods for the construction of spatial birth-and-death processes, jumping particles random evolutions and diffusions of infinite particle systems. A special attention will be given to hydrodynamic limits of various stochastic evolutions in the continuum. In particular, we will consider scalings of fluctuations which should produce super-Brownian motions for the continuous contact model and for the voter model. We will analyze spectral properties of Markov generators and related ergodicity bounds for the non-equilibrium Glauber dynamics and for other classes of spatial birth-and-death processes. There will be considered applications to individual based models in spatial ecology, socio-economic models, classical and quantum continuous systems in statistical physics.



Recent Preprints:

17010 Dmitri Finkelshtein, Pavlo Tkachov PDF

Kesten's bound for sub-exponential densities on the real line and its multi-dimensional analogues

Project: A5

X

Kesten's bound for sub-exponential densities on the real line and its multi-dimensional analogues


Authors: Dmitri Finkelshtein, Pavlo Tkachov Projects: A5
Submission Date: 2017-04-21 Submitter: Michael Röckner
Download: PDF Link: 17010

17009 Dmitri Finkelshtein, Yuri Kondratiev, Pavlo Tkachov PDF

Accelerated front propagation for monostable equations with nonlocal diffusion

Project: A5

X

Accelerated front propagation for monostable equations with nonlocal diffusion


Authors: Dmitri Finkelshtein, Yuri Kondratiev, Pavlo Tkachov Projects: A5
Submission Date: 2017-04-21 Submitter: Michael Röckner
Download: PDF Link: 17009

17008 Dmitri Finkelshtein, Pavlo Tkachov PDF

The hair-trigger effect for a class of nonlocal nonlinear equations

Project: A5

X

The hair-trigger effect for a class of nonlocal nonlinear equations


Authors: Dmitri Finkelshtein, Pavlo Tkachov Projects: A5
Submission Date: 2017-03-24 Submitter: Michael Röckner
Download: PDF Link: 17008

17007 Dmitri Finkelshtein, Yuri Kondratiev, Stanislav Molchanov, Pavlo Tkachov PDF

Global stability in a nonlocal reaction-diffusion equation

Project: A5

X

Global stability in a nonlocal reaction-diffusion equation


Authors: Dmitri Finkelshtein, Yuri Kondratiev, Stanislav Molchanov, Pavlo Tkachov Projects: A5
Submission Date: 2017-03-24 Submitter: Michael Röckner
Download: PDF Link: 17007

17004 Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov, Maria J. Oliveira PDF

An infinite dimensional umbral calculus

Project: A5

X

An infinite dimensional umbral calculus


Authors: Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov, Maria J. Oliveira Projects: A5
Submission Date: 2017-01-25 Submitter: Michael Röckner
Download: PDF Link: 17004

16026 Martin Friesen, Yuri Kondratiev PDF

Weak-coupling limit for ergodic environments

Project: A5

X

Weak-coupling limit for ergodic environments


Authors: Martin Friesen, Yuri Kondratiev Projects: A5
Submission Date: 2016-08-09 Submitter: Michael Röckner
Download: PDF Link: 16026

16019 Yuliya Mishura, Alexander Veretennikov PDF

Existence and uniqueness theorems for solutions of McKean-Vlasov stochastic equations

Project: A5

X

Existence and uniqueness theorems for solutions of McKean-Vlasov stochastic equations


Authors: Yuliya Mishura, Alexander Veretennikov Projects: A5
Submission Date: 2016-06-17 Submitter: Michael Röckner
Download: PDF Link: 16019

16018 Yuri Kondratiev, Stanislav Molchanov, Andrey Pyatnitskiy, Elena Zhizhina PDF

Resolvent bounds for jump generators and ground state asymptotics for nonlocal Schrödinger operators

Project: A10, A5

X

Resolvent bounds for jump generators and ground state asymptotics for nonlocal Schrödinger operators


Authors: Yuri Kondratiev, Stanislav Molchanov, Andrey Pyatnitskiy, Elena Zhizhina Projects: A10, A5
Submission Date: 2016-06-13 Submitter: Michael Röckner
Download: PDF Link: 16018

16014 Yuri Kondratiev, Stanislav Molchanov, Boris Vainberg PDF

Spectral analysis of non-local Schrödinger operators

Project: A10, A5

X

Spectral analysis of non-local Schrödinger operators


Authors: Yuri Kondratiev, Stanislav Molchanov, Boris Vainberg Projects: A10, A5
Submission Date: 2016-05-11 Submitter: Michael Röckner
Download: PDF Link: 16014

16012 Anatoly Kochubei, Yuri Kondratiev PDF

Fractional kinetic hierarchies and intermittency

Project: A5

X

Fractional kinetic hierarchies and intermittency


Authors: Anatoly Kochubei, Yuri Kondratiev Projects: A5
Submission Date: 2016-04-13 Submitter: Michael Röckner
Download: PDF Link: 16012



Back
© 2017–2018 Sonderforschungbereich 701 | Privacy Policy