Good potentials for almost isomorphism of countable state Markov shifts

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/103862Almost 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.Dynamical SystemsPrimary: 37B10; Secondary: 37B40, 37C99, 37D35Good potentials for almost isomorphism of countable state Markov shiftstext