Integrable probability: From representation theory to Macdonald processes
These are lecture notes for a mini-course given at the Cornell Probability Summer School in July 2013. Topics include lozenge tilings of polygons and their representation theoretic interpretation, the (q, t)-deformation of those leading to the Macdonald processes, nearest neighbor dynamics on Macdon...
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| Format: | Article |
| Language: | en_US |
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Institute of Mathematical Statistics
2015
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| Online Access: | http://hdl.handle.net/1721.1/92802 https://orcid.org/0000-0002-2913-5238 |
| _version_ | 1826211390815207424 |
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| author | Borodin, Alexei Petrov, Leonid |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Borodin, Alexei Petrov, Leonid |
| author_sort | Borodin, Alexei |
| collection | MIT |
| description | These are lecture notes for a mini-course given at the Cornell Probability Summer School in July 2013. Topics include lozenge tilings of polygons and their representation theoretic interpretation, the (q, t)-deformation of those leading to the Macdonald processes, nearest neighbor dynamics on Macdonald processes, their limit to semi-discrete Brownian polymers, and large time asymptotic analysis of polymer's partition function. |
| first_indexed | 2024-09-23T15:05:09Z |
| format | Article |
| id | mit-1721.1/92802 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:05:09Z |
| publishDate | 2015 |
| publisher | Institute of Mathematical Statistics |
| record_format | dspace |
| spelling | mit-1721.1/928022022-10-02T00:28:36Z Integrable probability: From representation theory to Macdonald processes Borodin, Alexei Petrov, Leonid Massachusetts Institute of Technology. Department of Mathematics Borodin, Alexei These are lecture notes for a mini-course given at the Cornell Probability Summer School in July 2013. Topics include lozenge tilings of polygons and their representation theoretic interpretation, the (q, t)-deformation of those leading to the Macdonald processes, nearest neighbor dynamics on Macdonald processes, their limit to semi-discrete Brownian polymers, and large time asymptotic analysis of polymer's partition function. National Science Foundation (U.S.) (Grant DMS-1056390) 2015-01-12T20:00:50Z 2015-01-12T20:00:50Z 2014 2013-11 Article http://purl.org/eprint/type/JournalArticle 1549-5787 http://hdl.handle.net/1721.1/92802 Borodin, Alexei, and Leonid Petrov. “Integrable Probability: From Representation Theory to Macdonald Processes.” Probab. Surveys 11 (2014): 1–58. https://orcid.org/0000-0002-2913-5238 en_US http://dx.doi.org/10.1214/13-PS225 Probability Surveys Creative Commons Attribution http://creativecommons.org/licenses/by/2.5/ application/pdf Institute of Mathematical Statistics Probability Surveys |
| spellingShingle | Borodin, Alexei Petrov, Leonid Integrable probability: From representation theory to Macdonald processes |
| title | Integrable probability: From representation theory to Macdonald processes |
| title_full | Integrable probability: From representation theory to Macdonald processes |
| title_fullStr | Integrable probability: From representation theory to Macdonald processes |
| title_full_unstemmed | Integrable probability: From representation theory to Macdonald processes |
| title_short | Integrable probability: From representation theory to Macdonald processes |
| title_sort | integrable probability from representation theory to macdonald processes |
| url | http://hdl.handle.net/1721.1/92802 https://orcid.org/0000-0002-2913-5238 |
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