UW Rainwater Seminar
Spring 2011
Date: May 17 at 2:30
Location: UW
Padelford C-401
Speaker: Christopher Hoffman, University of Washington
Title: A K but not Bernoulli Z^2 subshift of finite type
Abstract:
Domino tilings of the plane have been studied extensively for both
their statistical properties and their dynamical properties. In
particular Rick Kenyon has shown that the certain properties of a
domino tiling are conformally invariant. We construct a subshift of
finite type using a collection of colored dominoes. Using these
results about domino tilings we will show that our subshift is K
(every factor has positive entropy) but is not isomorphic to a
Bernoulli shift.