期刊
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
卷 68, 期 10, 页码 1774-1844出版社
WILEY
DOI: 10.1002/cpa.21546
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资金
- National Science Foundation [DMS-1056390]
- RFBR-CNRS [11-01-93105]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1056390] Funding Source: National Science Foundation
We prove that the two-dimensional Gaussian free field describes the asymptotics of global fluctuations of a multilevel extension of the general -Jacobi random matrix ensembles. Our approach is based on the connection of the Jacobi ensembles to a degeneration of the Macdonald processes that parallels the degeneration of the Macdonald polynomials to the Heckman-Opdam hypergeometric functions (of type A). We also discuss the limit. (c) 2015 Wiley Periodicals, Inc.
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