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Uniformity of singular value exponents for typical cocycles.

Authors :
Chen, Yexing
Cao, Yongluo
Zou, Rui
Source :
Stochastics & Dynamics. Jun2023, Vol. 23 Issue 4, p1-22. 22p.
Publication Year :
2023

Abstract

Let be a G L d (ℝ) -valued cocycle over a subshift of finite type. Under a certain twisting assumption, we prove that has a uniform Lyapunov exponent if and only if the largest Lyapunov exponent of at all periodic points equals. Under the typicality assumption, we give two checkable criteria for deciding whether has uniform singular value exponents. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02194937
Volume :
23
Issue :
4
Database :
Academic Search Index
Journal :
Stochastics & Dynamics
Publication Type :
Academic Journal
Accession number :
170064882
Full Text :
https://doi.org/10.1142/S0219493723500363