Research Interests

As a mathematician, I work in three different directions: dynamical systems, probability theory, and mathematical physics. For dynamical systems, I am involved in research of systems with marginal properties of hyperbolicity and mixing. This class of systems appears in many problems of chaos theory. For probability theory, I study statistical properties of many-body systems, originated from statistical mechanics and ensembles of random matrices. For mathematical physics, I work on problems of statistical hydrodynamics and on some problems related to Anderson localization.

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Section 11: Mathematics