SRB Measures and Young Towers - Lecture 3 of 4

Explore the third installment of a four-part mini-course on Markov Partitions and Young Towers in Dynamics. Delve into the construction of SRB (Sinai-Ruelle-Bowen) measures and Young Towers for nonuniformly hyperbolic systems. Examine the evolution of techniques from uniformly hyperbolic systems to more complex dynamical systems with discontinuities. Learn about the advantages and challenges of using Young Towers and infinite Markov Partitions in studying statistical properties of dynamical systems. Gain insights into the introduction of Young Structures, the construction of towers, return maps, and recurrence properties. Investigate proofs, correlation terms, and iteration techniques in this comprehensive exploration of advanced concepts in ergodic theory and dynamical systems.