| dc.contributor.author | Gorin, Vadim | |
| dc.contributor.author | Zhang, Lingfu | |
| dc.date.accessioned | 2021-09-20T17:17:05Z | |
| dc.date.available | 2021-09-20T17:17:05Z | |
| dc.date.issued | 2018-01-04 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/131442 | |
| dc.description.abstract | Abstract
We study the asymptotics of the global fluctuations for the difference between two adjacent levels in the
$$\beta $$
β
–Jacobi corners process (multilevel and general
$$\beta $$
β
extension of the classical Jacobi ensemble of random matrices). The limit is identified with the derivative of the 2d Gaussian free field. Our main tools are integral forms for the (Macdonald-type) difference operators originating from the shuffle algebra. | en_US |
| dc.publisher | Springer Berlin Heidelberg | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s00440-017-0823-8 | en_US |
| dc.source | Springer Berlin Heidelberg | en_US |
| dc.title | Interlacing adjacent levels of $$\beta $$ β –Jacobi corners processes | en_US |
| dc.type | Article | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2020-09-24T20:57:51Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | Springer-Verlag GmbH Germany, part of Springer Nature | |
| dspace.embargo.terms | Y | |
| dspace.date.submission | 2020-09-24T20:57:51Z | |
| mit.license | OPEN_ACCESS_POLICY | |
| mit.metadata.status | Authority Work and Publication Information Needed | |
