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Orthogonal Stochastic Duality Functions from Lie Algebra Representations
We obtain stochastic duality functions for specific Markov processes using representation theory of Lie algebras. The duality functions come from the kernel of a unitary intertwiner between [Formula: see text] -representations, which provides (generalized) orthogonality relations for the duality fun...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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Springer US
2018
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6383627/ https://www.ncbi.nlm.nih.gov/pubmed/30872864 http://dx.doi.org/10.1007/s10955-018-2178-7 |
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author | Groenevelt, Wolter |
author_facet | Groenevelt, Wolter |
author_sort | Groenevelt, Wolter |
collection | PubMed |
description | We obtain stochastic duality functions for specific Markov processes using representation theory of Lie algebras. The duality functions come from the kernel of a unitary intertwiner between [Formula: see text] -representations, which provides (generalized) orthogonality relations for the duality functions. In particular, we consider representations of the Heisenberg algebra and [Formula: see text] . Both cases lead to orthogonal (self-)duality functions in terms of hypergeometric functions for specific interacting particle processes and interacting diffusion processes. |
format | Online Article Text |
id | pubmed-6383627 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | Springer US |
record_format | MEDLINE/PubMed |
spelling | pubmed-63836272019-03-12 Orthogonal Stochastic Duality Functions from Lie Algebra Representations Groenevelt, Wolter J Stat Phys Article We obtain stochastic duality functions for specific Markov processes using representation theory of Lie algebras. The duality functions come from the kernel of a unitary intertwiner between [Formula: see text] -representations, which provides (generalized) orthogonality relations for the duality functions. In particular, we consider representations of the Heisenberg algebra and [Formula: see text] . Both cases lead to orthogonal (self-)duality functions in terms of hypergeometric functions for specific interacting particle processes and interacting diffusion processes. Springer US 2018-10-19 2019 /pmc/articles/PMC6383627/ /pubmed/30872864 http://dx.doi.org/10.1007/s10955-018-2178-7 Text en © Springer Science+Business Media, LLC, part of Springer Nature 2018 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
spellingShingle | Article Groenevelt, Wolter Orthogonal Stochastic Duality Functions from Lie Algebra Representations |
title | Orthogonal Stochastic Duality Functions from Lie Algebra Representations |
title_full | Orthogonal Stochastic Duality Functions from Lie Algebra Representations |
title_fullStr | Orthogonal Stochastic Duality Functions from Lie Algebra Representations |
title_full_unstemmed | Orthogonal Stochastic Duality Functions from Lie Algebra Representations |
title_short | Orthogonal Stochastic Duality Functions from Lie Algebra Representations |
title_sort | orthogonal stochastic duality functions from lie algebra representations |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6383627/ https://www.ncbi.nlm.nih.gov/pubmed/30872864 http://dx.doi.org/10.1007/s10955-018-2178-7 |
work_keys_str_mv | AT groeneveltwolter orthogonalstochasticdualityfunctionsfromliealgebrarepresentations |