Good potentials for almost isomorphism of countable state Markov shifts

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Almost isomorphism is an equivalence relation on countable state Markov shifts which provides a strong version of Borel conjugacy; still, for mixing SPR shifts, entropy is a complete invariant of almost isomorphism. In this paper, we establish a class of potentials on countable state Markov shifts whose thermodynamic formalism is respected by almost isomorphism.

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Dynamical Systems, Primary: 37B10; Secondary: 37B40, 37C99, 37D35

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http://salesiana.dossiersoluciones.com/handle/123456789/103862

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0510632
 http://arxiv.org/abs/math/0510632

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arXiv