Probability and Related Areas

• Quaternionic analysis. Function theory on Riemann surfaces. Linear system theory
• Infinite dimensional analysis, Hida’s white noise space, Gaussian processes

Applied Probability, Combinatorial Optimization, Number Theory.

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

Ergodic theory, Markov operators

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

Dynamical Systems and Ergodic Theory

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.