ICTP Mathematics Seminars - Friday 6 October, at 16:00 - Yakov Pesin - Venue: Luigi Stasi seminar room

[ICTP Math Section]

_ICTP MATHEMATICS SEMINARS 2023_



Friday 6 October 2023, at 16:00


VENUE: Leonardo Building - Luigi Stasi Seminar Room


Title: How big is the set of Birkhoff generic points


Speaker: Yakov Pesin (Pennsylvania State University & Eberly College of 
Science)
https://yakovpesin.com/


Abstract: Given a homeomorphism of a compact metric space and a 
continuous function, I will discuss the question of how big the set of 
Birkhoff generic points associated with the function is. This set plays 
an important role in studying dynamics of the map. To answer this 
question I will consider various ways of “measuring” a set: by using 
invariant measures, computing its Hausdorff dimension, and determining 
its Baire category. In the talk I will concentrate on the last 
characteristic — the Baire category — which gives some information on 
the topology of the set. This will be an introductory talk to the 
subject and it will be self-contained.

/https://indico.ictp.it/event/10553/
/

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Koutou Mabilo
ICTP Mathematics Group
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