MATH 617: Introduction
to Dynamical Systems (Fall 2004)
Instructor:
John Smillie
Meeting
Time & Room
MATH 617 is a mathematically rigorous introduction to some basic techniques
in dynamical systems and ergodic theory.
Topics include:
- Chain recurrence and Lyapunov functions
- Uniform distribution on the circle and in higher dimensions
- Interval exchange transformations
- Expanding maps and structural stability
- The ergodic theorem
- Ergodicity of hyperbolic torus maps
- Geodesic flows on surfaces of negative curvature
- The horocycle flow
- Lyapunov exponents and stable manifolds
- Hyperbolicity
Last modified:
August 26, 2004
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