Symbolic extensions for C^2 surface diffeomorphisms
Starts 21 Oct 2013 12:00
Ends 21 Oct 2013 20:00
Central European Time
Leonardo da Vinci Building Luigi Stasi Seminar Room
Strada Costiera, 11
I - 34151 Trieste (Italy)
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.