Leonid
Koralov
List of
publications
q
The Existence of
Pair Potential Corresponding to Specified Density and Pair Correlation, submitted to Communications on Pure and Applied
Mathematics.
q
(with Ya. Sinai) Probability Theory, Random Processes and
Random Fields, textbook, to be published by Springer-Verlag, in
preparation.
q Random Perturbations of 2-Dimensional Hamiltonian Flows, Probability Theory and Related Fields 129, pp 37-62 (2004) (link to ps file)
q
(with D. Dolgopyat
and V. Kaloshin) Sample Path Properties of the Stochastic Flows, Annals
of Probability, 32 (2004) no 1A, pp 1-27.
q
(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.
q (with D. Dolgopyat and V. Kaloshin) Hausdorff Dimension in Stochastic Dispersion, Journal of Statistical Physics, Vol 108, Nos 5/6, pp 943-972 (2002) (link to pdf file)
q
(with D. Dolgopyat
and V. Kaloshin) Long time behaviour of periodic stochastic dispersion,
to appear in Proceedings of ICMP 2002.
q (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) (link to ps file)
q
Transport by Vector Fields with Kolmogorov Spectrum, Journal of Statistical Physics, Vol 98, Issue
1/2, pp 405-418 (2000)
q
Transport by Time
Dependent Stationary Random Flow,
Communications in Mathematical Physics, 199, pp 649-681 (1999)
q
Effective
Diffusivity of Stationary Vector Fields with Short Time Correlations, Random Operators and Stochastic Equations, no 4,
Vol 5, pp 303-324 (1997).
q
(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.
q
(with S. Nechaev and
Ya. Sinai) Limiting Probability Distribution for a Random Walk with
Topological Constraints, Chaos 1 (1991), no 2, 131-133.