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Explore random differentiable dynamics on the circle in this 25-minute conference talk delivered at the 8th Brazilian School of Dynamical Systems. Learn from Graccyela Salcedo of École Polytechnique, France, as she presents advanced concepts in dynamical systems theory with a focus on stochastic elements affecting differentiable mappings on circular domains. Delve into the intersection of probability theory and dynamical systems, examining how randomness influences the behavior of smooth transformations on the circle. Gain insights into current research developments in this specialized area of mathematics that combines ergodic theory, differential geometry, and stochastic processes. This presentation forms part of a comprehensive academic event organized by Instituto de Matemática Pura e Aplicada (IMPA) that brings together postgraduate students and researchers in dynamical systems, ergodic theory, and related mathematical fields including geometry, probability, number theory, and topology.
