Starts 9 Mar 2023 15:15
Ends 9 Mar 2023 17:30
Central European Time
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Dynamical Systems Seminars
ICTP
Leonardo Building - Luigi Stasi Seminar Room
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
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