Determinantal measures related to big q-Jacobi polynomials
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10688_2015_Article_107.pdf
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155544201a5e1b3661c1a9900d960fbe
Author(s)
Olshanski, G. I.
Gorin, Vadim
Date Issued
September 2015
Journal
Functional Analysis and Its Applications
Publisher
Springer US
Citation
Gorin, V. E., and G. I. Olshanski. “Determinantal Measures Related to Big Q-Jacobi Polynomials.” Functional Analysis and Its Applications 49.3 (2015): 214–217.
Version
Author's final manuscript
Abstract
We define a novel combinatorial object—the extended Gelfand—Tsetlin graph with cotransition probabilities depending on a parameter q. The boundary of this graph admits an explicit description. We introduce a family of probability measures on the boundary and describe their correlation functions. These measures are a q-analogue of the spectral measures studied earlier in the context of the problem of harmonic analysis on the infinite-dimensional unitary group.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s10688-015-0107-y
