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MATH 618:
Smooth Ergodic Theory (Spring 2007)
Instructor:
John Smillie
Meeting
Time & Room
This is the second semester course in dynamical systems. This course
is an introduction to some topics in ergodic theory and with a focus
on some applications connected to polygonal billiards. Topics include
the ergodic theorem, unique ergodicity and minimality, applications of
ergodic theory to continued fractions and rotations of the circle, interval
exchange transformations, polygonal billiards, translation surfaces,
pseudo-Anosov diffeomorphisms of surfaces, ergodic theory of the horocycle
and geodesic flows for SL(2, R)/SL(2, Z) moduli spaces
and flows on moduli spaces as a technique for studying translation surfaces.
Last modified:October 31, 2006
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