List of publications
· (with D. Dolgopyat) Averaging of incompressible flows on two-dimensional surfaces, submitted to Journal
of American Mathematical Society.
· Branching Diffusion Processes. Preprint.
·
(with M. Freidlin) Averaging
Principle for quasi-linear parabolic PDE's and related diffusion processes.
To appear in
Stochastics and Dynamics.
· (with D. Dolgopyat, M. Freidlin) Deterministic and Stochastic Perturbations of Hamiltonian Systems on a 2-dimensional torus.
to appear in Ergodic Theory and Dynamical Systems.
·
(with M. Freidlin) Metastability for Nonlinear Random Perturbations of
Dynamical Systems, Stochastic
Processes and Applications 120 (2010), no. 7, 1194–1214.
· (with M. Freidlin) Nonlinear Stochastic Perturbations of Dynamical Systems, Probability Theory and Related
Fields (2010), 147, pp 273-301.
·
(with M. Cranston, S.
Molchanov, B. Vainberg) A Solvable Model for Homopolymers and Critical
Phenomena.
Random Operators and Stochastic Equations 18 (2010), no. 1, 73–95.
· (with M. Cranston, S. Molchanov, B. Vainberg) Continuous Model for Homopolymers, Jounal of Functional Analysis 256 (2009), no 8,
pp 2656-2696.
· (with D. Dolgopyat) Motion in Random Force Field, Nonlinearity, 22 (2009), pp 187-211.
· An Inverse Problem for Gibbs Fields with Hard Core Potential, Journal of Mathematical Physics, 48, No 5, 2007.
· An Inverse Problem for Gibbs Fields, CRM Proceedings and Lecture Notes, 2007.
· (with D. Dolgopyat) Averaging of Hamiltonian Flows with an Ergodic Component, Annals of Probability, 36 (2008), pp 1999-2049.
· The Existence of Pair Potential Corresponding to Specified Density and Pair Correlation, Letters in Mathematical Physics (2005), 71, pp 135-148.
· (with Ya. Sinai) Probability Theory, Random Processes and Random Fields, Textbook, Springer-Verlag, 2007.
· (with D. Dolgopyat and V. Kaloshin) Long time behavior of periodic stochastic dispersion, XIVth International Congress on Mathematical Physics, 290--295, World Sci. Publ., Hackensack, NJ, 2005.
· Random Perturbations of 2-Dimensional Hamiltonian Flows, Probability Theory and Related Fields 129, pp 37-62, 2004.
· (with D. Dolgopyat and V. Kaloshin) Sample Path Properties of the Stochastic Flows}, Annals of Probability, 32 no 1A, pp 1-27, 2004.
· (with D. Dolgopyat and V. Kaloshin) A Limit Shape Theorem for Periodic Stochastic Dispersion, Communications in Pure and Applied Mathematics, 57 (2004), no 9, pp 1127-1158.
· (with D. Dolgopyat and V. Kaloshin) Hausdorff Dimension in Stochastic Dispersion, Journal of Statistical Physics, Vol 108, Nos 5/6, pp 943-972 (2002).
· (with R. Carmona and S. Molchanov) Asymptotics for the Almost Sure Lyapunov Exponent for the Solution of the Parabolic Anderson Problem, Random Operators and Stochastic Equations, Vol 9, No. 1, pp 77-86 (2001).
· Transport by Vector Fields with Kolmogorov Spectrum, Journal of Statistical Physics, Vol 98, Issue 1/2, pp 405-418 (2000)
· Transport by Time Dependent Stationary Random Flow, Communications in Mathematical Physics, 199, pp 649-681 (1999)
· Effective Diffusivity of Stationary Vector Fields with Short Time Correlations, Random Operators and Stochastic Equations, no 4, Vol 5, pp 303-324 (1997).
· (with S. Nechaev and Ya. Sinai) Limit Behavior of a two-dimensional Random Walk with Topological Constraints, Theory Probab. Appl 38 (1993), no 2, 296-306.
· (with S. Nechaev and Ya. Sinai) Limiting Probability Distribution for a Random Walk with Topological Constraints, Chaos 1 (1991), no 2, 131-133.