Theoretical Statistics and Mathematics Unit, ISI Delhi

September 15, 2015 (Tuesday) ,
3:30 PM at Webinar

Speaker:
Nishant Chandgotia,
University of British Columbia

Title:
Entropy Minimality and Four-Cycle Free Graphs

Abstract of Talk

A topological dynamical system (X,T) is said to be entropy minimal if
all closed T-invariant subsets of X have entropy strictly less than
(X,T). In this talk we will discuss the entropy minimality of a
class of topological dynamical systems which appear as the space of
graph homomorphisms from Z^d to graphs without four cycles; for
instance, we will see why the space of 3-colourings of Z^d is entropy
minimal even though it does not have any of the nice topological
mixing properties. Along the way, I will try to indicate some connections of such problems with probability and algebraic topology.