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arXiv · 1108.3746

On the Lyapunov spectrum of relative transfer operators

Mário Bessa·Manuel Stadlbauer
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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 $C^0$-topology by positive matrices with an associated dominated splitting.

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Mário Bessa, Manuel Stadlbauer. 2011-08-18. On the Lyapunov spectrum of relative transfer operators. https://doi.org/10.1142/s0219493716500246

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