Scientific Calendar Event

Starts 17 Mar 2023 15:15
Ends 17 Mar 2023 17:15
Central European Time
Leonardo Building - Luigi Stasi Seminar Room
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.