Good potentials for almost isomorphism of countable state Markov shifts

Details Good potentials for almost isomorphism of countable state Markov shifts Good potentials for almost isomorphism of countable state Markov shifts

2005-10-28

arxiv.org/abs/math/0510632v1

Mathematics

Dynamical Systems

Scientific paper

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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