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...
Main Authors: | , |
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Format: | Article |
Language: | en_US |
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Wiley Blackwell
2017
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Online Access: | http://hdl.handle.net/1721.1/110685 https://orcid.org/0000-0002-2913-5238 https://orcid.org/0000-0002-9828-5862 |