Stochastic processes, characterization problems of statistics, theory of function spaces.
Ergodic theory and dynamical systems, operator algebra, random processes.
Probability and statistics
Probability: random walks, interacting particle systems, discrete analysis. Geometric group theory: spaces of harmonic functions on groups, random walks on groups, boundaries.
Applied Probability, Combinatorial Optimization, Number Theory.
Ergodic theory, Markov operators