Good potentials for almost isomorphism of countable state Markov shifts

Jerome Buzzi; Mike M. Boyle; Ricardo Gomez

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Good potentials for almost isomorphism of countable state Markov shifts

Jerome Buzzi·Mike M. Boyle·Ricardo Gomez

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Abstract

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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Jerome Buzzi, Mike M. Boyle, Ricardo Gomez. 2005-10-28. Good potentials for almost isomorphism of countable state Markov shifts. https://arxiv.org/abs/math/0510632

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