| dc.contributor.author | Morris, I | |
| dc.date.accessioned | 2021-08-17T10:53:25Z | |
| dc.date.available | 2021-08-05 | |
| dc.date.available | 2021-08-17T10:53:25Z | |
| dc.identifier.citation | Morris, I.D. Totally Ergodic Generalised Matrix Equilibrium States have the Bernoulli Property. Commun. Math. Phys. 387, 995–1050 (2021). https://doi.org/10.1007/s00220-021-04200-0 | |
| dc.identifier.issn | 0010-3616 | |
| dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/73667 | |
| dc.description.abstract | 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. | en_US |
| dc.publisher | Springer (part of Springer Nature) | en_US |
| dc.relation.ispartof | Communications in Mathematical Physics | |
| dc.rights | This is a post-peer-review, pre-copyedit version of an article published in Communications in Mathematical Physics. The final authenticated version is available online at: https://doi.org/10.1007/s00220-021-04200-0.
Post-prints are subject to Springer Nature re-use terms | |
| dc.title | Totally ergodic matrix equilibrium states have the Bernoulli property | en_US |
| dc.type | Article | en_US |
| dc.identifier.doi | 10.1007/s00220-021-04200-0 | |
| pubs.notes | Not known | en_US |
| pubs.publication-status | Accepted | en_US |
| dcterms.dateAccepted | 2021-08-05 | |
| rioxxterms.funder | Default funder | en_US |
| rioxxterms.identifier.project | Default project | en_US |
| qmul.funder | Lower bounds for Lyapunov exponents::Lever | en_US |
