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Daniel Akech
Tue Feb 22, 2011
3:00 pm
In this talk, we will begin with simple questions of the Diophantine Approximation Theory, for instance, how closely can a given irrational number x be approximated by a rational number r with denominator no larger than a fixed number? This will lead us to talk about the set known as the Lagrange Spectrum whose structure closely resembles the...
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Matthew Foreman
Tue Feb 8, 2011
3:00 pm
The structure of Anosov-Katok example (in fact, this is a series of examples that can be constructed using similar techniques) will be presented. This is a way to build a smooth realization for several classes of measure preserving transformations.
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Anton Gorodetski
Tue Feb 1, 2011
3:00 pm
We will review the recent (and not so recent) results on dynamics of piecewise isometries (especially piecewise translations), both in one and in higher dimensional case. Some interesting results (by Suzuki, Goetz, Zhuravlev, Boshernitzan, Bruin, Troubetzkoy, Buzzi) are known, but most of natural questions are still open. The main goal of the talk...
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Yulij Ilyashenko
Tue Dec 7, 2010
3:00 pm
The general belief is that attractors of diffeomorphisms of smooth manifolds either have measure zero, or coincide with the phase space. We prove that in the space of diffeomorphisms of a manifold with boundary onto itself there exists an open set (with at most a countable number of hypersurfaces deleted) such that any map from this set has a...
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Scott Northrup
Tue Nov 30, 2010
3:00 pm
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Scott Northrup
Tue Nov 23, 2010
3:00 pm
In this talk we we will first examine the dynamical properties of the simplest form of a piecewise isometry in one dimension, the interval exchange tranformation. We will then generalize this concept to interval translation mappings, and examine their dynamical properties, and consider an example of a rank 3 ITM which is of infinite type.
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Matthew Foreman
Tue Nov 16, 2010
3:00 pm
