Mixing and Control - Mathematical Control Theory for Stochastically Perturbed Dynamical Systems

Explore advanced mathematical concepts at the intersection of Random Matrix Theory, Point Processes, Dynamical Systems, and Control Theory through this comprehensive two-week school and workshop. Delve into cutting-edge research topics including mixing and control theory, focusing on ergodic and mixing properties of dynamical systems with stochastic perturbations from degenerate noise in nonlinear PDEs and ODEs. Master fundamental concepts through mini-courses covering mixing for nonlinear PDEs perturbed by bounded random forces and geometric control theory, progressing from introductory principles to advanced applications. Examine controllability approaches to stochastic differential equations driven by degenerate noises, analyze the growth of Sobolev norms in stochastic complex Ginzburg-Landau equations, and investigate quaternionic Brownian windings. Study heat and Schrödinger evolution on degenerate Riemannian structures, explore control theory applications to large deviation principles for PDEs, and learn stabilization techniques for nonlinear systems using oscillating controls. Discover simultaneous control methods for ensembles of dynamical systems, investigate solutions to the 4NLS with white noise initial data, and analyze ergodicity in randomly forced Navier-Stokes systems and invariant states in stochastically forced Boussinesq equations. Engage with both established and emerging researchers in mathematical physics and control theory while exploring non-equilibrium statistical physics and related advanced topics through research seminars and collaborative discussions.