English

A uniform dichotomy for generic $SL(2,R)$ cocycles over a minimal base

Dynamical Systems 2009-12-18 v3

Abstract

We consider continuous SL(2,R)SL(2,R)-cocycles over a minimal homeomorphism of a compact set KK of finite dimension. We show that the generic cocycle either is uniformly hyperbolic or has uniform subexponential growth.

Keywords

Cite

@article{arxiv.math/0611397,
  title  = {A uniform dichotomy for generic $SL(2,R)$ cocycles over a minimal base},
  author = {Artur Avila and Jairo Bochi},
  journal= {arXiv preprint arXiv:math/0611397},
  year   = {2009}
}

Comments

10 pages

R2 v1 2026-07-22T17:46:16.156Z