Thema der Dissertation:
Aspects of the Long-Term Evolution of Ergodic Cocycles: The Mather Semigroup, Hyperbolicity and Random Attractors Thema der Disputation:
Anisotropic Banach spaces to establish exponential mixing: an overview
Aspects of the Long-Term Evolution of Ergodic Cocycles: The Mather Semigroup, Hyperbolicity and Random Attractors Thema der Disputation:
Anisotropic Banach spaces to establish exponential mixing: an overview
Abstract: Chaotic dynamical systems behave seemingly randomly even though their evolution is governed by deterministic laws. This interplay between deterministic and stochastic behavior can be described mathematically using ergodic theory and concepts such as entropy. One particular aspect that has attracted significant research interest over the past decades is the exponential decay of correlations of observables, also called exponential mixing. Establishing exponential mixing for a given dynamical system is highly nontrivial and remains the subject of many open problems. One method that has proven successful in various systems is the introduction of function spaces, called anisotropic Banach spaces, that are tailored to the specific geometry of the dynamics. The goal of this talk is to introduce anisotropic Banach spaces, provide intuition for how they can be used to establish exponential mixing, and give an overview of the most prominent results obtained using this approach.
Zeit & Ort
07.05.2026 | 16:00
Seminarraum 025/026
(Fachbereich Mathematik und Informatik, Arnimallee 6, 14195 Berlin)