Ergodic Theory and Dynamical Systems
최고관리자
2025-05-13
-
Category
Seminar
-
Date
20250521 ~ 20250521Time
16:00 ~ 시간을 입력해주세요. -
Place
Online Streaming(Zoom)
Host
-
Speaker
Minsung Kim
Affiliation
KTH Royal Institute of Technology
-
Subject
Ergodic Theory and Dynamical Systems
-
Notice
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
