English

On the Lyapunov spectrum of relative transfer operators

Dynamical Systems 2017-01-18 v4

Abstract

We analyze the Lyapunov spectrum of the relative Ruelle operator associated with a skew product whose base is an ergodic automorphism and whose fibers are full shifts. We prove that these operators can be approximated in the C0C^0-topology by positive matrices with an associated dominated splitting.

Keywords

Cite

@article{arxiv.1108.3746,
  title  = {On the Lyapunov spectrum of relative transfer operators},
  author = {Mário Bessa and Manuel Stadlbauer},
  journal= {arXiv preprint arXiv:1108.3746},
  year   = {2017}
}

Comments

The article now contains a section on decay of correlations of relative transfer operators