Special Session 162: Computer-Assisted Proofs in Dynamical Systems

Computer-Assisted Proofs in Random Dynamical Systems
Maximilian Engel
University of Amsterdam
Netherlands
Co-Author(s):    Maxime Breden
Abstract:
I will summarize results from recent years on how to use computer-assisted proofs in random dynamical systems. This will concern rigorous estimates on Lyapunov exponents as indicators of synchronization or chaos as well as large deviation estimates on finite-time Lyapunov exponents as indicators of random bifurcations. The talk will also address new questions and challenges from random dynamical systems that may be approached with rigorous numerics.