YoVDO

Entropy and Gibbs Measures for Hyperbolic Systems - Lecture 1

Offered By: Simons Semester on Dynamics via YouTube

Tags

Entropy Courses Random Walks Courses Geodesic Flows Courses Gibbs Measures Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the fundamental concepts of entropy and Gibbs measures in hyperbolic systems through this comprehensive lecture. Delve into classical examples of hyperbolic systems, including toral automorphisms and geodesic flows. Examine entropy and pressure in terms of expansion in the unstable direction, and learn about the construction of SRB measures and Gibbs measures. Investigate the speed of mixing and resonances for hyperbolic systems, with a focus on explicit examples for toral automorphisms. Study classical results on entropy for geodesic flows and their partial analogues for translation surfaces. Conclude by exploring random walks in hyperbolic space, covering topics such as entropy, drift, and harmonic measures, and addressing the Kaimanovich-Le Prince question.

Syllabus

Mark Pollicott (University of Warwick), lecture 1


Taught by

Simons Semester on Dynamics

Related Courses

Statistical Molecular Thermodynamics
University of Minnesota via Coursera
Thermodynamics
Indian Institute of Technology Bombay via edX
Introduzione alla fisica sperimentale: meccanica, termodinamica
Politecnico di Milano via Polimi OPEN KNOWLEDGE
Statistical Thermodynamics: Molecules to Machines
Carnegie Mellon University via Coursera
Engineering Thermodynamics
Indian Institute of Technology Kanpur via Swayam