Leonid Koralov

List of publications

 

 

 

 

·       (with D. Dolgopyat) Motion in Random Force Field, submitted to Nonlinearity.

 

 

·       An Inverse Problem for Gibbs Fields with Hard Core Potential, Journal of Mathematical Physics, 2007.

 

·       An Inverse Problem for Gibbs Fields, CRM Proceedings and Lecture Notes, 2007.

 

 

·       (with D. Dolgopyat) Averaging of Hamiltonian Flows with an Ergodic Component, submitted to Annals of Probability.     

 

 

·       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.