Gibbs measures: Hyperbolic Attractors

This lecture by the instructor covers the concept of Gibbs measures for hyperbolic attractors, focusing on T-invariant probability measures, such as Sinai-Ruelle-Bowen and Bowen-Margulis measures. The presentation includes a toy problem with expanding interval maps, the Lanford map, and perturbations of the CAT map. It delves into the construction of SRB measures, the Arnol'd CAT map, and the extension to Gibbs measures. The talk also explores hyperbolic flows and SRB measures for flows, providing insights into the theoretical framework and practical examples.