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Explore advanced concepts in dynamical systems theory through this 52-minute conference talk examining the Pacman Renormalization Horseshoe presented by Nikita Selinger from the University of Alabama at Birmingham. Delve into the intricate mathematical structures that emerge in nonlinear dynamical systems, focusing on renormalization techniques and horseshoe dynamics. Learn about the geometric and topological properties of these complex mathematical objects and their applications in understanding chaotic behavior. Discover how renormalization theory provides insights into the self-similar structures found in dynamical systems and examine the specific case of the Pacman map as a model system. Gain exposure to cutting-edge research in nonlinear dynamics presented as part of the Fields-CNAM Nonlinear Days 2025 conference series on Structures and Processes: Dynamical, Geometric, and Random.
