General β-Jacobi Corners Process and the Gaussian Free Field

We prove that the two-dimensional Gaussian free field describes the asymptotics of global fluctuations of a multilevel extension of the general β-Jacobi random matrix ensembles. Our approach is based on the connection of the Jacobi ensembles to a degeneration of the Macdonald processes that parallel...

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Bibliographic Details
Main Authors: Borodin, Alexei, Gorin, Vadim
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Wiley Blackwell 2017
Online Access:http://hdl.handle.net/1721.1/110685
https://orcid.org/0000-0002-2913-5238
https://orcid.org/0000-0002-9828-5862