Probability and Related Areas

Stochastic processes, characterization problems of statistics, theory of function spaces.

Ergodic theory, Markov operators

Ergodic theory and dynamical systems, operator algebra, random processes.

Applied Probability, Combinatorial Optimization, Number Theory.

Probability: random walks, interacting particle systems, discrete analysis. Geometric group theory: spaces of harmonic functions on groups, random walks on groups, boundaries.