Schur dynamics of the Schur processes
We construct discrete time Markov chains that preserve the class of Schur processes on partitions and signatures. One application is a simple exact sampling algorithm for qvolume-distributed skew plane partitions with an arbitrary back wall. Another application is a construction of Markov chains on...
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| Format: | Article |
| Language: | en_US |
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Elsevier
2015
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| Online Access: | http://hdl.handle.net/1721.1/98592 https://orcid.org/0000-0002-2913-5238 |
| _version_ | 1811076019791069184 |
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| author | Borodin, Alexei |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Borodin, Alexei |
| author_sort | Borodin, Alexei |
| collection | MIT |
| description | We construct discrete time Markov chains that preserve the class of Schur processes on partitions and signatures.
One application is a simple exact sampling algorithm for qvolume-distributed skew plane partitions with an arbitrary back wall. Another application is a construction of Markov chains on infinite Gelfand–Tsetlin schemes that represent deterministic flows on the space of extreme characters of the infinite-dimensional unitary group. |
| first_indexed | 2024-09-23T10:14:50Z |
| format | Article |
| id | mit-1721.1/98592 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T10:14:50Z |
| publishDate | 2015 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | mit-1721.1/985922022-09-30T19:51:51Z Schur dynamics of the Schur processes Borodin, Alexei Massachusetts Institute of Technology. Department of Mathematics Borodin, Alexei We construct discrete time Markov chains that preserve the class of Schur processes on partitions and signatures. One application is a simple exact sampling algorithm for qvolume-distributed skew plane partitions with an arbitrary back wall. Another application is a construction of Markov chains on infinite Gelfand–Tsetlin schemes that represent deterministic flows on the space of extreme characters of the infinite-dimensional unitary group. National Science Foundation (U.S.) (Grant DMS-0707163) 2015-09-17T18:00:53Z 2015-09-17T18:00:53Z 2011-08 2010-10 Article http://purl.org/eprint/type/JournalArticle 00018708 1090-2082 http://hdl.handle.net/1721.1/98592 Borodin, Alexei. “Schur Dynamics of the Schur Processes.” Advances in Mathematics 228, no. 4 (November 2011): 2268–2291. https://orcid.org/0000-0002-2913-5238 en_US http://dx.doi.org/10.1016/j.aim.2011.06.038 Advances in Mathematics Creative Commons Attribution-Noncommercial-NoDerivatives http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier Arxiv |
| spellingShingle | Borodin, Alexei Schur dynamics of the Schur processes |
| title | Schur dynamics of the Schur processes |
| title_full | Schur dynamics of the Schur processes |
| title_fullStr | Schur dynamics of the Schur processes |
| title_full_unstemmed | Schur dynamics of the Schur processes |
| title_short | Schur dynamics of the Schur processes |
| title_sort | schur dynamics of the schur processes |
| url | http://hdl.handle.net/1721.1/98592 https://orcid.org/0000-0002-2913-5238 |
| work_keys_str_mv | AT borodinalexei schurdynamicsoftheschurprocesses |