15:15 - 16:15 Hamza Ounesli (SISSA)
Existence of invariant measures for circle expanding maps of low regularity

Abstract: In this talk I will start by giving a brief introduction to expanding dynamical systems, recall some known results on the ergodic theory of this class of maps and motivate some on-going open problems. The second part will be more oriented towards my current research and present some partial results.

16:15 - 16:30 break

16:30 - 17:30 Dominic Veconi (ICTP)
Super-expanding measures of one-dimensional Lorenz-type maps

Abstract: In this seminar, I will discuss recent work of F. Pedreira and V. Pinheiro examining a dense family of expanding Lorenz-type of the interval with infinite Lyapunov exponent. Pedreira and Pinheiro use inducing schemes to show that if the singularity of a Lorenz-type map has fast recurrence to itself, then the resulting map admits an infinite Lyapunov exponent; on the other hand, slow recurrence of the singularity to itself results in a finite Lyapunov exponent. I will discuss in detail how inducing schemes and weak Gibbs-Markov structures are used to prove that an interval map with fast recurrence of the singularity has infinite Lyapunov exponent.

Everyone is welcome to attend