SRB Measures and Young Towers - Lecture 4

Explore the fourth and final lecture in a mini-course on Markov Partitions and Young Towers in Dynamics, focusing on SRB Measures and Young Towers. Delve into the advanced concepts of Sinai-Ruelle-Bowen (SRB) measures and their application to nonuniformly hyperbolic systems through Young Towers. Examine how these techniques extend the groundbreaking work of Sinai, Ruelle, and Bowen to more complex dynamical systems with discontinuities and singularities. Learn about the construction of Young Towers and their role in studying statistical properties of challenging systems that cannot be coded with finite symbolic dynamics. Gain insights into the advantages and challenges of using Young Towers compared to infinite Markov Partitions in modern dynamical systems research. This lecture, part of a comprehensive online event, bridges introductory concepts with cutting-edge research in ergodic theory and hyperbolic dynamics.