Ergodic Theory and Dynamical Systems
최고관리자
2025-05-13
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분야
세미나
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날짜
20250521 ~ 20250521시간
16:00 ~ 시간을 입력해주세요. -
장소
Online Streaming(Zoom)
초청자
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연사
Minsung Kim
소속
KTH Royal Institute of Technology
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제목
Ergodic Theory and Dynamical Systems
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소개 및 안내사항
Title: Anisotropic spaces and nil-automorphisms.Abstract: Interconnections between parabolic and hyperbolic dynamics have been recently studied regarding renormalization techniques. In particular, they were observed in the deviation of ergodic integrals and solving cohomological equations for some parabolic flows (cf. Liverani-Giulietti, Adam-Baladi, Faure-Gouëzel-Lanneau, and Butterley-Simonelli, etc.).In this talk, we introduce the geometric anisotropic Banach spaces on Heisenberg nilmanifolds. This construction shows how the Ruelle resonances for the transfer operator associated with the renormalization map (partially hyperbolic nil-automorphism) are related to the invariant distributions for cohomological equations of Heisenberg nilflows. This is joint work with Oliver Butterley.Zoom information
https://us06web.zoom.us/j/83738226775?pwd=743lmLhDbOlog3swLxhtSgcYpdpVl1.1
ID: 837 3822 6775
PW: set2025
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