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Explore the stochastic properties of measures of maximal entropy for smooth surface diffeomorphisms in this conference talk delivered by Omri Sarig at BIMSA as part of the ICBS2025 conference. Delve into advanced mathematical concepts at the intersection of dynamical systems theory and measure theory, examining how maximal entropy measures behave from a probabilistic perspective when applied to smooth diffeomorphisms on surfaces. Learn about the theoretical foundations and recent developments in understanding the statistical properties of these important mathematical objects, which play a crucial role in ergodic theory and the study of chaotic dynamical systems. Gain insights into cutting-edge research that bridges differential geometry, probability theory, and dynamical systems through rigorous mathematical analysis presented over the course of approximately one hour.
