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A class of non-ergodic probabilistic cellular automata with unique invariant measure and quasi-periodic orbit
| dc.contributor.author | Jahnel, Benedikt | |
| dc.contributor.author | Kuelske, Christof | |
| dc.date.accessioned | 2017-01-04T16:09:57Z | |
| dc.date.available | 2019-06-28T08:03:40Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | We provide an example of a discrete-time Markov process on the threedimensional infinite integer lattice with Zq-invariant Bernoulli-increments which has as local state space the cyclic group Zq. We show that the system has a unique invariant measure, but remarkably possesses an invariant set of measures on which the dynamics is conjugate to an irrational rotation on the continuous sphere S1. The update mechanism we construct is exponentially well localized on the lattice | eng |
| dc.description.version | publishedVersion | eng |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2075 | |
| dc.language.iso | eng | eng |
| dc.publisher | Cambridge : arXiv | eng |
| dc.relation.uri | https://arxiv.org/abs/1404.3314 | |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
| dc.subject.ddc | 510 | eng |
| dc.subject.other | Markov chain | eng |
| dc.subject.other | probabilistic cellular automaton | eng |
| dc.subject.other | interacting particle system | eng |
| dc.subject.other | non-equilibrium | eng |
| dc.subject.other | non-ergodicity | eng |
| dc.subject.other | rotation | eng |
| dc.subject.other | discretization | eng |
| dc.subject.other | Gibbs measures | eng |
| dc.subject.other | XY-model | eng |
| dc.subject.other | clock model | eng |
| dc.title | A class of non-ergodic probabilistic cellular automata with unique invariant measure and quasi-periodic orbit | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |