Interests and Projects

My research is focused on Dynamical Systems and its relations to Probability, Analysis and Geometry.  FirstIy, I am working on problems in random dynamical systems, in particular (chaotic) random attractors and their parameter-dependent change (bifurcations). Furthermore, I am investigating  multiscale systems with non-hyperbolic singularities, analyzing discretization problems for ODEs, SDEs and PDEs. Additionally, I am working on models of stochastic dynamics in applications, with an increased focus on chemical reaction, learning and atmospheric dynamics.

Keywords: Fast-slow systems, stochastic and random differential equations, smooth ergodic theory, random attractors, bifurcation theory, diffusion with absorption at the boundary, population dynamics, jump processes, reaction-diffusion systems.