Continuity of the Lyapunov exponents of non-invertible random cocycles with constant rank

被引：0

作者：

Duarte, Pedro ^{[1
,2
]}

Freijo, Catalina ^{[3
]}

机构：

[1] Univ Lisbon, Dept Matemat, Lisbon, Portugal

[2] Univ Lisbon, Fac Ciencias, CMAFcIO, Lisbon, Portugal

[3] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo, Brazil

来源：

NONLINEARITY | 2024年 / 37卷 / 10期

关键词：

Lyapunov exponents; linear cocycles; large deviations estimates; PRODUCT; MATRICES; ENTROPY;

D O I：

10.1088/1361-6544/ad72c7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we establish uniform large deviations estimates of exponential type and H & ouml;lder continuity of the Lyapunov exponents for random non-invertible cocycles with constant rank.

引用

页数：23

共 28 条

[21] New proof of continuity of Lyapunov exponents for a class of smooth Schrödinger cocycles with weak Liouville frequencies
Linlin Fu
Jiahao Xu
Fan Wu
Frontiers of Mathematics in China, 2020, 15 : 467 - 489
[22] Horseshoes and Lyapunov exponents for Banach cocycles over non-uniformly hyperbolic systems
Zou, Rui
Cao, Yongluo
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2024, 44 (02) : 674 - 704
[23] On the sum of the non-negative Lyapunov exponents for some cocycles related to the Anderson model
Binder, Ilia
Goldstein, Michael
Voda, Mircea
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2017, 37 : 369 - 388
[24] A NEW PROOF OF CONTINUITY OF LYAPUNOV EXPONENTS FOR A CLASS OF C2 QUASIPERIODIC SCHRODINGER COCYCLES WITHOUT LDT
Fu, Linlin
Xu, Jiahao
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (05) : 2915 - 2931
[25] Folding Domain Functions (FDF): A Random Variable Transformation technique for the non-invertible case, with applications to RDEs
Masullo, Fabrizio
Zanolin, Fabio
Avalos, Josep Bonet
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 133
[26] MULTIFRACTAL ANALYSIS OF SOME MULTIPLE ERGODIC AVERAGES FOR THE SYSTEMS WITH NON-CONSTANT LYAPUNOV EXPONENTS
Liao, Lingmin
Rams, Michal
REAL ANALYSIS EXCHANGE, 2013, 39 (01) : 1 - 14
[27] NON-PERTURBATIVE POSITIVITY AND WEAK HOLDER CONTINUITY OF LYAPUNOV EXPONENT OF ANALYTIC QUASI-PERIODIC JACOBI COCYCLES DEFINED ON A HIGH DIMENSION TORUS
Tao, Kai
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2020,
[28] A Central Limit Theorem with Explicit Lyapunov Exponent and Variance for Products of 2×2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2\times 2$$\end{document} Random Non-invertible Matrices
Audrey Benson
Hunter Gould
Phanuel Mariano
Grace Newcombe
Joshua Vaidman
Journal of Statistical Physics, 191 (10)

← 1 2 3 →