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arXiv · 2007.10136

Ergodic quasi-invariant measures on topologically mixing subshifts are isomorphic to Bernoulli shifts

Doureid Hamdan
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Abstract

We prove that a shift ergodic measure on a topologically mixing sub-shift is isomorphic to a Bernoulli shift whenever it is quasi invariant under permutations of finite number of coordinates. We prove also that Gibbs measures on topologically mixing subshift of finite type are quasi invariant.

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Doureid Hamdan. 2020-07-17. Ergodic quasi-invariant measures on topologically mixing subshifts are isomorphic to Bernoulli shifts. https://arxiv.org/abs/2007.10136

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