A symbolic representation of Anosov-Katok Diffeomorphisms

Speaker: 

Matt Foreman

Institution: 

UC Irvine

Time: 

Tuesday, January 13, 2015 - 1:00pm to 2:00pm

Location: 

RH 440R

I present joint work with B. Weiss that describes a concrete operation on words that allows one to generate symbolic representations of Anosov-Katok diffeomorphisms. We show that each A-K diffeomorphism can be represented this way and that each symbolic system generated by this operation can be realized as an A-K diffeomorphism.

A symbolic representation of Anosov-Katok Diffeomorphisms II

Speaker: 

Matt Foreman

Institution: 

UC Irvine

Time: 

Tuesday, January 20, 2015 - 1:00pm to 2:00pm

Location: 

RH 440R

I present joint work with B. Weiss that describes a concrete operation on words that allows one to generate symbolic representations of Anosov-Katok diffeomorphisms. We show that each A-K diffeomorphism can be represented this way and that each symbolic system generated by this operation can be realized as an A-K diffeomorphism.

Selected problems in dynamical systems

Speaker: 

Anton Gorodetski

Institution: 

UC Irvine

Time: 

Tuesday, December 9, 2014 - 1:00pm to 2:00pm

We will discuss some problems (related to piecewise isometris, sums and products of Cantor sets, dynamics of the Fibonacci trace map etc.) that are in the scope of current interests of the dynamical systems seminar. Many of the problems can be considered as potential research projects by the interested graduate students. 

Products of two Cantor sets II

Speaker: 

Yuki Takahashi

Institution: 

UC Irvine

Time: 

Tuesday, November 18, 2014 - 1:00pm to 2:00pm

Location: 

RH440

We consider product of two Cantor sets, and obtain the optimal estimates in terms of their thickness that guarantee that their product is an interval. This problem is motivated by the fact that the spectrum of the Labyrinth model, which is a two dimensional quasicrystal model, is given by the product of two Cantor sets. We also discuss the connection between our problem and the ”intersection of two Cantor sets” problem, which is a problem considered in several papers before.

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