Ergodicity, mixing, Ratner's properties and disjointness for classical flows: On the research of Corinna Ulcigrai

IF 0.7 1区数学 Q2 MATHEMATICS

Journal of Modern Dynamics Pub Date : 2022-01-01 DOI:10.3934/jmd.2022005

M. Lemanczyk

引用次数: 0

Abstract

We present and discuss C. Ulcigrai's results concerning mixing properties of locally Hamiltonian flows, spectral properties of smooth time changes of horocycle flows together with their Möbius orthogonality and the ergodicity problems of directional flows in the wind tree model of Ehrenfest.

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经典流动的遍历性、混合性、拉特纳性质和不连接性——关于柯琳娜·乌奇克莱的研究

本文介绍并讨论了C. Ulcigrai在Ehrenfest风树模型中关于局部哈密顿流的混合性质、环流平滑时变的谱性质及其Möbius正交性和定向流遍历性问题的研究结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Modern Dynamics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Modern Dynamics (JMD) is dedicated to publishing research articles in active and promising areas in the theory of dynamical systems with particular emphasis on the mutual interaction between dynamics and other major areas of mathematical research, including: Number theory Symplectic geometry Differential geometry Rigidity Quantum chaos Teichmüller theory Geometric group theory Harmonic analysis on manifolds. The journal is published by the American Institute of Mathematical Sciences (AIMS) with the support of the Anatole Katok Center for Dynamical Systems and Geometry at the Pennsylvania State University.