MAT 555: Intro. to Dynamic Systems Spring 2021 | |
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Welcome to MAT 555: Ergodic Theory and Smooth DynamicsDescription: Fundamental themes of dynamic systems and applications to other areas. Topics may include the following: Poincare recurrence and Birkhoff Ergodic Theorem, Smale horseshow, and hyperbolicity, Geodesic flow on constant curvature surfaces, One-dimensional dynamics, Julia sets and the Mandelbrot set, Renormalization, rigidity and universality phenomena, Hamiltonian dynamics and integrability, Kolmogorov-Arnold-Moser Theory (overview), Homoclinic bifurcations and New house phenomenon. This is an online course; the zoom-link is accessible from the blackboard. Videos of recorded lectures are available at Weakly Plan. Lecturer: Dzmitry Dudko References: Introduction to Dynamical Systems by Brin and Stuck |
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