ICTP Mathematics Seminar on Monday 21 October at 11:00 hrs

[math]

M A T H E M A T I C S   S E M I N A R S   2013


Monday, 21 October, at 11:00

David Burguet
(Universite' Paris 6, France)

"Symbolic extensions for C^2 surface diffeomorphisms"

Abstract:

By a symbolic extension of a topological dynamical system (X,T) we mean 
an extension of (X,T) which is a subshift over a finite alphabet. The 
existence and the entropy of these extensions are related to the 
convergence of the metric entropy of (X,T) computed at finer and finer 
scales. T. Downarowicz and S. Newhouse have conjectured that any C^r 
with r>1 map on a compact manifold admits symbolic extensions. In this 
talk we will discuss the case of surface maps.


VENUE: Luigi Stasi Seminar Room, first floor, ICTP Leonardo Building