École polytechnique – Centre de Mathématiques Laurent Schwartz

10h30-12h15 – Yuri Lima (UFC, Brésil)

"Markov partitions and adapted measures"

Abstract: Markov partitions provide an efficient way of understanding various statistical properties of dynamical systems. For systems with singularities, a class of interesting 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 existence of Markov partitions for adapted measures in two contexts: two dimensional billiards and one dimensional maps.