ICTP Mathematics Seminar - Monday, 28 October 2024, at 16:00 - VENUE: Luigi Stasi Seminar Room - Arévalo Hurtado (PUC)

[ICTP/math - Di Giovannantonio Margherita]

*ICTP Mathematics Seminar
*

Monday, 28 October 2024, at 16:00



VENUE: ICTP Leonardo Building - Luigi Stasi Seminar Room


Speaker: Nicolás Arévalo Hurtado (Pontificia Universidad Católica de Chile)

Title: *Lyapunov Spectrum of Countable Markov Interval Maps*


_*Abstract: *_

In this talk, we will explore the multifractal analysis of the Lyapunov 
exponent function, also known as the Lyapunov spectrum. About 25 years 
ago, Weiss and Pesin applied thermodynamic formalism to study the 
Lyapunov spectrum for Anosov diffeomorphisms. Their results have since 
been generalized to various settings, including non-uniformly hyperbolic 
systems and non-compact spaces.

We will begin with a brief introduction to thermodynamic formalism, 
followed by a discussion of this problem in the context of certain 
dynamical systems on the interval that exhibit intriguing phenomena 
related to the topological pressure function.