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Explore a mathematical lecture that delves into measuring the complexity of dynamical systems, specifically focusing on arithmetic dynamics through topological, algebraic, and arithmetic perspectives. Learn about dynamical degrees as an algebraic analog to entropy and their application in studying orbits, periodic points, and cohomology actions. Recorded during the "Arithmetic, Algebraic and Analytics Dynamics" thematic meeting at the Centre International de Rencontres Mathématiques in Marseille, France, this presentation offers deep insights into fundamental problems in dynamical systems theory. Access this lecture through CIRM's Audiovisual Mathematics Library, which features chapter markers, keywords, enriched content with abstracts and bibliographies, and comprehensive Mathematics Subject Classification for enhanced learning experience.
