Title: 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.

Offered: Spring.

Prerequisite: MAT 530 and MAT 544

Credits: 3

Textbook:

• Introduction to Dynamical Systems by Brin and Stuck

   Note: Subject to change - do not buy before confirming with the course instructor

Graduate Bulletin Course Information

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