| dc.contributor.author | Borodin, Alexei | |
| dc.contributor.author | Corwin, Ivan | |
| dc.date.accessioned | 2020-01-21T20:07:52Z | |
| dc.date.available | 2020-01-21T20:07:52Z | |
| dc.date.issued | 2018-01 | |
| dc.identifier.issn | 1073-7928 | |
| dc.identifier.issn | 1687-0247 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/123500 | |
| dc.description.abstract | We demonstrate a Markov duality between the dynamic ASEP and the standard ASEP.
We then apply this to step initial data, as well as a half-stationary initial data (which we introduce).
While investigating the duality for half-stationary initial data, we uncover and utilize connections to
continuous q[superscript -1]-Hermite polynomials. Finally, we introduce a family of stationary initial data which
are related to the indeterminate moment problem associated with these q[superscript -1]-Hermite polynomials. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-1056390) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-1607901) | en_US |
| dc.language.iso | en | |
| dc.publisher | Oxford University Press (OUP) | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1093/imrn/rnx299 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | Dynamic ASEP, Duality, and Continuous q[superscript -1]-Hermite Polynomials | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Borodin, Alexei and Ivan Corwin "Dynamic ASEP, Duality, and Continuous q−1-Hermite Polynomials." International Mathematics Research Notices (January 2018): rnx299 © The Author(s) 2018 | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.relation.journal | International Mathematics Research Notices | en_US |
| dc.eprint.version | Original manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
| dc.date.updated | 2019-11-08T13:10:13Z | |
| dspace.date.submission | 2019-11-08T13:10:15Z | |
| mit.metadata.status | Complete | |
