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MATH 617: Dynamical
Systems (Fall 2005)
Instructor:
John Smillie
Meeting
Time & Room
This course will be an introduction to Dynamical Systems. We will use
the recently published book, "Introduction to Dynamical Systems"
by Brin and Stuck. This is a nice book for two reasons. It gives a variety
of viewpoints on the field and it has some very nice problems which will
be assigned as homework.
Topics will include:
- Topological dynamics and topological entropy.
- Symbolic dynamics, subshifts of finite type and substitution systems.
- Basic hyperbolic theory and applications to celestial mechanics,
expanding maps and complex dynamics.
- Continued fractions viewed as a concrete example of renormalization.
- Equidistribution of orbits and applications to polygonal billiards
Last modified:
April 4, 2005
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