Mathematics Graduate Student Colloquium

MGSC Website: http://math.uci.edu/~mgsc/

Quasicrystals, Labyrinth model, and product of two Cantor sets

Yuki Takahashi
Wednesday, April 8, 2015
4:00 pm - 4:50 pm
RH440R

Talk Abstract:

We will talk about one and two dimensional quasicrystals, and will see how questions on quasicrystals lead naturally to questions on hyperbolic dynamics. We will also discuss the Labyrinth model, which is a two dimensional quasicrystal model, and will show that the spectrum of this model, which is known to be the product of two Cantor sets, becomes an interval for small values of the coupling constant.

About the Speaker:

Yuki received a Bachelor's degree in Mathematics from the University of Tokyo, and now he is working on Dynamical System and Mathematical Physics, under the guidance of Professor A. Gorodetski. In his free time, Yuki enjoys juggling, and practicing yoga in the ARC.

Refreshments:

Pizza will be served after the talk.