Transfer operators and BV spaces: from classic to anisotropic
Wael Bahsoun (Loughborough)
Abstract: Smooth ergodic theory aims to analyse the long-term statistics of chaotic dynamical systems. There are several analytic and probabilistic tools that are used to answer such questions. Each of these approaches has its advantages and its shortcomings, depending on the system under consideration. In this presentation, I will focus on transfer operator techniques and spectral methods, which are known to be very powerful when dealing with uniformly expanding, or uniformly hyperbolic systems. The first half of this talk will be rather introductory, aimed at non-experts, focusing on ideas behind this approach through simple, yet important examples. In the second half of the talk, I will discuss a recent joint work with C. Liverani, whose long-term goal is to provide a good spectral picture for piecewise hyperbolic systems with singularities (e.g. billiard maps) in any dimension. In connection with this goal, I will also discuss a recent joint work with F. Sélley on coupled map lattices.
dynamical systems
Audience: researchers in the topic
Bremen Online Dynamics Seminar
Series comments: Talks are approx. 55 min plus discussion. Talks are not recorded.
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Organizer: | Researchers from University of Bremen and Jacobs University Bremen |
Curator: | Anke Pohl* |
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