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metadata.dc.type: | Artigo de Periódico |
Title: | An extension of Kesten’s criterion for amenability to topological Markov chains |
Other Titles: | Advances in Mathematics |
Authors: | Stadlbauer, Manuel |
metadata.dc.creator: | Stadlbauer, Manuel |
Abstract: | 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 in probability theory, there is a notable asymmetry in the assumptions on the base. That is, it turns out that, under very mild assumptions on the continuity and symmetry of the associated potential, amenability of the group implies that the Gurevič-pressures of the extension and the base coincide whereas the converse holds true if the potential is Hölder continuous and the topological Markov chain has big images and preimages. Finally, an application to periodic hyperbolic manifolds is given |
Keywords: | Amenability Group extension Topological Markov chain Thermodynamic formalism Periodic manifold |
Publisher: | Advances in Mathematics |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/12030 |
Issue Date: | 2013 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
Files in This Item:
File | Description | Size | Format | |
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4444444444.pdf | 266,44 kB | Adobe PDF | View/Open |
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