Dynamical Systems Seminars - Thursday, 9 March 2023, 15:15 - 17:30 - (Hamza Ounesli and Dominic Veconi)

[ICTP Math Section]

_Dynamical Systems Seminars _

Venue: Luigi Stasi seminar room (ICTP Leonardo da Vinci Building)

Thursday, 9 March 2023 (15:15 - 17:30)

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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/*


-- 
Koutou Mabilo
ICTP Mathematics Group
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