Continuity of Lyapunov Exponents for Cocycles with Invariant Holonomies
Dynamical Systems
2019-05-23 v2
Abstract
We prove a conjecture of Viana which states that Lyapunov exponents vary continuously when restricted to -valued cocycles over a subshift of finite type which admit invariant holonomies that depend continuously on the cocycle.
Cite
@article{arxiv.1507.08978,
title = {Continuity of Lyapunov Exponents for Cocycles with Invariant Holonomies},
author = {Lucas Backes and Aaron W. Brown and Clark Butler},
journal= {arXiv preprint arXiv:1507.08978},
year = {2019}
}
Comments
34 pages, 1 figure