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Explore the finiteness of measures of maximal entropy for certain partially hyperbolic diffeomorphisms in this 30-minute conference talk from the 8th Brazilian School of Dynamical Systems. Delve into advanced concepts in dynamical systems theory as the speaker examines the mathematical properties and constraints of entropy measures within partially hyperbolic systems. Learn about the theoretical foundations and recent developments in this specialized area of ergodic theory, with particular focus on the conditions under which maximal entropy measures exhibit finite characteristics. Gain insights into the intersection of dynamical systems, ergodic theory, and measure theory through rigorous mathematical analysis. This presentation forms part of a comprehensive academic event that brings together postgraduate students and researchers in dynamical systems, ergodic theory, and related fields including geometry, probability, number theory, and topology, fostering academic interaction and establishing connections between Brazilian and international researchers in these mathematical disciplines.
