Markovianity and the Thompson Group
We show that representations of the Thompson group 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 ....
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2022 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2022
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211821 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Markovianity and the Thompson Group . Claus Köstler and Arundhathi Krishnan. SIGMA 18 (2022), 083, 27 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862624896804192256 |
|---|---|
| author | Köstler, Claus Krishnan, Arundhathi |
| author_facet | Köstler, Claus Krishnan, Arundhathi |
| citation_txt | Markovianity and the Thompson Group . Claus Köstler and Arundhathi Krishnan. SIGMA 18 (2022), 083, 27 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We show that representations of the Thompson group 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 . As an application, and building on a result of Kümmerer, we canonically associate a representation of to a bilateral stationary Markov process in classical probability.
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| first_indexed | 2026-03-14T15:16:03Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211821 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-14T15:16:03Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Köstler, Claus Krishnan, Arundhathi 2026-01-12T10:19:44Z 2022 Markovianity and the Thompson Group . Claus Köstler and Arundhathi Krishnan. SIGMA 18 (2022), 083, 27 pages 1815-0659 2020 Mathematics Subject Classification: 46L53; 60J05; 60G09; 20M30 arXiv:2204.03595 https://nasplib.isofts.kiev.ua/handle/123456789/211821 https://doi.org/10.3842/SIGMA.2022.083 We show that representations of the Thompson group 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 . As an application, and building on a result of Kümmerer, we canonically associate a representation of to a bilateral stationary Markov process in classical probability. The second author was partially supported by a Government of Ireland Postdoctoral Fellowship (Project ID: GOIPD/2018/498). Both authors acknowledge several helpful discussions with B.V. Rajarama Bhat in an early stage of this project. The first author would also like to thank Persi Diaconis, Gwion Evans, Rolf Gohm, Burkhard Kummerer, and Hans Maassen for several fruitful discussions on Markovianity. Both authors thank the organizers of the conference Noncommutative algebra, Probability and Analysis in Action held at Greifswald in September 2021 in honour of Michael Schurmann. The authors also thank the anonymous referees for their comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Markovianity and the Thompson Group Article published earlier |
| spellingShingle | Markovianity and the Thompson Group Köstler, Claus Krishnan, Arundhathi |
| title | Markovianity and the Thompson Group |
| title_full | Markovianity and the Thompson Group |
| title_fullStr | Markovianity and the Thompson Group |
| title_full_unstemmed | Markovianity and the Thompson Group |
| title_short | Markovianity and the Thompson Group |
| title_sort | markovianity and the thompson group |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211821 |
| work_keys_str_mv | AT kostlerclaus markovianityandthethompsongroup AT krishnanarundhathi markovianityandthethompsongroup |