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Explore advanced concepts in dynamical systems theory through this 48-minute conference talk that examines the intricate relationships between orbit counting techniques, Pesin theory, and suspension flows. Delve into the mathematical foundations of how orbits are counted in dynamical systems, understand the principles of Pesin theory which deals with the behavior of dynamical systems with nonuniform hyperbolicity, and investigate suspension flows as a method for constructing new dynamical systems from existing ones. Learn how these three areas interconnect to provide deeper insights into the structure and behavior of complex dynamical systems, with applications to understanding chaotic dynamics and ergodic properties. Gain exposure to cutting-edge research in nonlinear dynamics as part of the Fields-CNAM Nonlinear Days 2025 conference focusing on dynamical, geometric, and random structures and processes.
