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Professor Nicolai Haydn
Tue Feb 24, 2009
3:00 pm
For an ergodic system, the theorem of Shannon-McMillan-Breiman states that for every finite generating partition the exponential decay rate of the measure of cylinder sets equals the metric entropy almost everywhere. In 1962 Ibragimov showed that the distribution of the measure of cylinder sets is lognormally distributed provided the measure is...
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Professor Robert Williams
Tue Nov 18, 2008
3:00 pm
I will present some of the results by Marcy Barge and Jaroslaw Kwapisz (based on their paper "Geometric Theory of unimidular Pisot substitutions", Amer. J. Math., vol. 128 (2006), no. 5, pp. 1219--1282).
There are two classical ways of studying substitution tilings of the line: symbolic dynamics, and endomorphisms of ``train tracks". The...
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Professor Matthew Foreman
Tue Oct 28, 2008
3:00 pm
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Professor Matthew Foreman
Tue Oct 21, 2008
3:00 pm
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Assistant Professor Anton Gorodetski
Tue Oct 7, 2008
3:00 pm
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Assistant Professor Todd Fisher
Tue May 27, 2008
3:00 pm
In 1969, Hirsch posed the following problem: given a diffeomorphism of a manifold and a hyperbolic set for the diffeomorphism, describe the topology of the hyperbolic set and the dynamics of the diffeomorphism for this set. We solve the problem when the hyperbolic set is a closed 3-manifold.
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Assistant Professor Anton Gorodetski
Tue May 13, 2008
3:00 pm
