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Explore the final lecture in a five-part mini-course on Markov Partitions and Young Towers in Dynamics, focusing on symbolic dynamics for nonuniformly hyperbolic systems. Delve into advanced concepts that extend the groundbreaking work of Sinai, Ruelle, and Bowen to more complex dynamical systems. Examine the challenges of coding nonuniformly hyperbolic systems and the emergence of two key approaches: Young Towers and infinite Markov Partitions. Gain insights into the construction of SRB measures and the study of statistical properties in various classes of dynamical systems. This lecture, part of the ICTP Mathematics series, is designed for those with a background in uniformly hyperbolic dynamics and aims to bridge the gap between different research approaches in the field.
