| dc.contributor.creator | Koestler, Claus | |
| dc.contributor.creator | Krishnan, Arundhathi | |
| dc.date.accessioned | 2024-10-14T09:20:39Z | |
| dc.date.available | 2024-10-14T09:20:39Z | |
| dc.date.issued | 2022-10-27 | * |
| dc.identifier.citation | Koestler, C. and Krishnan, A. (2022) 'Markovianity and the Thompson Group F', Symmetry, Integrability and Geometry: Methods and Applications, 18(083), available: https://doi.org/10.3842/SIGMA.2022.083. | en_US |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.uri | https://dspace.mic.ul.ie/handle/10395/3338 | |
| dc.description.abstract | We show that representations of the Thompson group F in the automorphisms of a noncommutative probability space yield a large class of bilateral stationary noncommutative Markov processes. As a partial converse, bilateral stationary Markov processes in tensor dilation form yield representations of F. As an application, and building on a result of Kuemmerer, we canonically associate a representation of F to a bilateral stationary Markov process in classical probability. | en_US |
| dc.description.sponsorship | Government of Ireland Postdoctoral Fellowship (Project ID: GOIPD/2018/498) | en_US |
| dc.language.iso | eng | en_US |
| dc.relation.ispartofseries | 18;083 | |
| dc.rights | Open Access | en_US |
| dc.rights.uri | https://www.emis.de/journals/SIGMA/2022/083/ | en_US |
| dc.subject | Noncommutative stationary Markov processes | en_US |
| dc.subject | Representations of Thompson group F | en_US |
| dc.title | Markovianity and the Thompson Group F (Pre-published version) | en_US |
| dc.type | Article | en_US |
| dc.type.supercollection | all_mic_research | en_US |
| dc.type.supercollection | mic_published_reviewed | en_US |
| dc.description.version | Yes | en_US |
| dc.identifier.doi | 10.3842/SIGMA.2022.083 | |
