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Category
Seminar
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Date
20241106 ~ 20241106Time
16:00 ~ 시간을 입력해주세요. -
Place
Zoom & Online Streaming
Host
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Speaker
Bomi Shin
Affiliation
Sungkyunkwan University
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Subject
Ergodic Theory and Dynamical Systems
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Notice
Title: Measure-theoretical spectral decomposition
Speaker: Bomi Shin (Sungkyunkwan University)
Abstract: The Spectral Decomposition Property (SDP) plays a central role in understanding the structure of nonwandering sets in dynamical systems.
In this talk, we extend the classical SDP to a measure-theoretic setting for homeomorphisms on compact metric spaces.
We show that a homeomorphism has the SDP if and only if every Borel probability measure satisfies the property.
Furthermore, we study the connection between shadowing properties and spectral decomposition from a measure-theoretic perspective.
This talk is based on reference [1].
[1] Shin, Bomi A measurable spectral decomposition. Monatsh. Math. 204 (2024), no. 2, 311–322.참가 Zoom 회의
https://us06web.zoom.us/j/83540915663?pwd=Eu4WYFDWUxun53COoBaQmYNjwa5LaS.1
회의 ID: 835 4091 5663
암호: set2024
Ergodic Theory and Dynamical Systems
최고관리자
2024-10-30
