Ratio limits and pressure function for group extensions of Gibbs Markov maps
Ratio limits and pressure function for group extensions of Gibbs Markov maps
Ratio limit theorems for random walks on (various) groups are known. We obtain a generalization of this type of ratio limit for deterministic walks on certain groups driven by Gibbs Markov maps. In terms of proofs, the main difficulty comes down to the absence of a convolution structure. Also, for (finitely generated) group extensions of Gibbs Markov maps we obtain a characterization of the pressure function without a symmetry assumption.
Jaime Gomez、Dalia Terhesiu
数学
Jaime Gomez,Dalia Terhesiu.Ratio limits and pressure function for group extensions of Gibbs Markov maps[EB/OL].(2025-07-10)[2025-07-25].https://arxiv.org/abs/2507.08186.点此复制
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