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math.DS2011★ 30 cited
An extension of Kesten's criterion for amenability to topological Markov chains
Manuel Stadlbauer
The main results of this note extend a theorem of Kesten for symmetric random walks on discrete groups to group extensions of topological Markov chains. In contrast to the result i…
math.DS2011★ 7 cited
On the Lyapunov spectrum of relative transfer operators
Mário Bessa, Manuel Stadlbauer
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 tha…