Differential Equations and Numerical Analysis Seminar - 09/11/2011

Wednesday, 09 November 2011, 12:00 p.m.

Lecturer: Philippe Didier, CMA, FCT/UNL

Title: "One example of an extension of a Markov interval mapping to a pseudo-Anosov diffeomorphism on a surface”.

Local: Room 1.5, Edifício VII
Faculdade de Ciências e Tecnologia, Quinta da Torre, Caparica

 

Abstract: In this joint work with Prof. António Patrício, we start from an interval transformation and seek to extend its dynamical caracteristics to a surface transformation. Classicaly, this is usually done using a suspension of the original mapping under a height function. Unfortunately such a process does not, in general, preserve the dynamical invariants nor yields a pseudo-Anosov diffeomorphism.
We obtain such an example by adapting a construction of T.Fitzkee and by using seminal techniques of G.Rauzy and W.Veech. Obstructions to the generalization of our construction will be discussed.