Dynamical Resistance Day

Markov partitions and adapted measures
08 de Maio | 11h00min | Yuri Lima (UFC, Brazil)

Title: Markov partitions and adapted measures (video)

Markov partitions provide an efficient way of understanding various statistical properties of dynamical systems. For systems with singularities, a class of interest- ing measures in given by the adapted ones: a measure is adapted if the hyperbolicity overrules the proximity to the singular set. In this talk, we will discuss the exis- tence of Markov partitions for adapted measures in two contexts: two dimensional billiards and one dimensional maps.