Totally ergodic matrix equilibrium states have the Bernoulli property
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Publisher
DOI
10.1007/s00220-021-04200-0
Journal
Communications in Mathematical Physics
ISSN
0010-3616
Metadata
Show full item recordAbstract
We show that every totally ergodic generalised matrix equilibrium state is psi-mixing with respect to the natural partition into cylinders and hence is measurably isomorphic to a Bernoulli shift in its natural extension. This implies that the natural extensions of ergodic generalised matrix equilibrium states are measurably isomorphic to Bernoulli processes extended by finite rotations. This resolves a question of Gatzouras and Peres in the special case of self-affine repelling sets with generic translations.
Authors
Morris, ICollections
- Mathematics [1473]