On the Lyapunov spectrum of relative transfer operators

Bessa, Mário; Stadlbauer, Manuel

http://hdl.handle.net/10400.2/13904

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Authors

Bessa, Mário

Stadlbauer, Manuel

Abstract(s)

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.