ICTP Dynamical Systems Seminars - Friday, 17 March 2023, 15:15 - 17:15 - (Dominic Veconi)

[ICTP Math Section]

_ICTP Dynamical Systems Seminars_

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

Friday, 17 March 2023 (15:15 - 17:15)



Speaker: Dominic Veconi (ICTP)


Title: 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
Leonardo Da Vinci Building
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34151 Trieste, Italy
Tel. no.: +39-040-2240455

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