Interlacing adjacent levels of \(\beta\)-Jacobi corners processes

DOI10.1007/S00440-017-0823-8zbMath1403.60042arXiv1612.02321OpenAlexW2964266504MaRDI QIDQ1626623

Lingfu Zhang, Vadim Gorin

Publication date: 21 November 2018

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.02321

zbMATH Keywords

random matricesdifference operators\(\beta\) Jacobi corners processes2D Gaussian free field

Mathematics Subject Classification ID

Random fields (60G60) Random matrices (probabilistic aspects) (60B20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (9)

Fluctuations of \(\beta\)-Jacobi product processes ⋮ Asymptotics of discrete \(\beta \)-corners processes via two-level discrete loop equations ⋮ Asymptotics of pure dimer coverings on rail yard graphs ⋮ Extremal singular values of random matrix products and Brownian motion on \(\text{\textsf{GL}} (N, \mathbb{C})\) ⋮ HALF-SPACE MACDONALD PROCESSES ⋮ Global universality of Macdonald plane partitions ⋮ Free field approach to the Macdonald process ⋮ Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices ⋮ Lozenge tilings and the Gaussian free field on a cylinder

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