Welcome to MAT 555: Ergodic Theory and Smooth Dynamics

Description: 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