Probability and Stochastics

Probability and Stochastics

Probability and Stochastics

 
Mathematical physics by analytical methods, specifically spectral theory of ergodic Schrödinger operators and random matrices; homogenization theory; quantum spin systems; matrix inequalities and quantum information theory

Mathematical physics, probability, statistical mechanics, field theories, conformal symmetry, complex analysis, lattice models, exactly solvable models, neural networks.

Probability theory, Stochastic Processes, Stochastic Analysis, Stochastic Partial Differential Equations, Stochastic Control.

Brownian Sheet – Brownian Motion.

Study of random curves, surfaces and other random geometric structures, that help to geometrically encode and describe the large-scale behaviour of complex systems like, for example, 2D statistical physics models.

Development of statistical methodology, investigation of probability models and analysis of data that arise in natural sciences.