Starts 6 Oct 2023 16:00
Ends 6 Oct 2023 17:00
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How big is the set of Birkhoff generic points
HYBRID
Leonardo Building - Luigi Stasi Seminar Room
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https://zoom.us/j/95832470887?pwd=SlFZdW4wVTl1ek55Y2JiMTJUOXFSdz09
Meeting ID: 958 3247 0887
Passcode: 230310
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://zoom.us/j/95832470887?pwd=SlFZdW4wVTl1ek55Y2JiMTJUOXFSdz09
Meeting ID: 958 3247 0887
Passcode: 230310
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.