Probability and Related Areas

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

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

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