Moduli of continuity for the Lyapunov exponents of random 𝐺𝐿(2)-cocycles-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Moduli of continuity for the Lyapunov exponents of random 𝐺𝐿(2)-cocycles

Published:2019-10-24 Issue:2 Volume:373 Page:1343-1383
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Tall El Hadji,Viana Marcelo

Abstract

The Lyapunov exponents of i.i.d. random G L ( 2 ) \mathrm {GL}(2) -cocycles are Hölder continuous functions of the underlying probability distribution at each point with a simple Lyapunov spectrum. Moreover, they are log-Hölder continuous at every point.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/tran/2020-373-02/S0002-9947-2019-07973-4/tran7973_AM.pdf

Reference46 articles.

1. [AEV] A. Avila, A. Eskin, and M. Viana, Continuity of Lyapunov exponents for products of random matrices (in preparation).

2. Holonomy invariance: rough regularity and applications to Lyapunov exponents;Avila, Artur;Ast\'{e}risque,2013

3. Extremal Lyapunov exponents: an invariance principle and applications;Avila, Artur;Invent. Math.,2010

4. Continuity of Lyapunov exponents for cocycles with invariant holonomies;Backes, Lucas;J. Mod. Dyn.,2018

5. Springer Series in Operations Research and Financial Engineering;Buraczewski, Dariusz,2016

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Continuity of the Lyapunov exponents of non-invertible random cocycles with constant rank;Nonlinearity;2024-09-04

2. Upper Bound on the Regularity of the Lyapunov Exponent for Random Products of Matrices;Communications in Mathematical Physics;2023-08-08

3. Analyticity of the Lyapunov exponents of random products of quasi-periodic cocycles;Nonlinearity;2023-05-19

4. The Continuity Problem of Lyapunov Exponents;New Trends in Lyapunov Exponents;2023

5. An Invitation to $$SL_2(\mathbb {R})$$ Cocycles Over Random Dynamics;New Trends in Lyapunov Exponents;2023

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号京ICP备18003416号-3