Interlacing adjacent levels of $$\beta $$ β –Jacobi corners processes
Name
440_2017_823_ReferencePDF.pdf
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693.68 KB
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Adobe PDF
Checksum (MD5)
e1a692a9969a79d3d172dea3b4cc65a3
Author(s)
Gorin, Vadim
Zhang, Lingfu
Date Issued
January 4, 2018
Publisher
Springer Berlin Heidelberg
Version
Author's final manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s00440-017-0823-8
