Building Thermodynamics for Non-Uniformly Hyperbolic Maps - Yakov Pesin

Building Thermodynamics for Non-Uniformly Hyperbolic Maps - Yakov Pesin

Explore the advanced mathematical concepts of building thermodynamics for non-uniformly hyperbolic maps in this comprehensive lecture. Delve into topics such as uniformly hyperbolic maps, the geometric potential, and symbolic models including countable Markov shifts. Examine the construction of equilibrium measures for the geometric t-potential using non-symbolic approaches. Investigate ergodic properties of SRB measures and equilibrium measures, and learn about the construction of SRB measures for chaotic attractors. Gain insights into the work of mathematicians like Sinai, Ruelle, Bowen, Aaronson-Denker, Mauldin-Urbanski, Sarig, Climenhaga, and Thompson as you navigate through this complex mathematical landscape.