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Funktsional'nyi Analiz i ego Prilozheniya, 2008, Volume 42, Issue 3, Pages 23–44
DOI: https://doi.org/10.4213/faa2910 (Mi faa2910) 		 
This article is cited in 37 scientific papers (total in 37 papers)

Nonintersecting Paths and the Hahn Orthogonal Polynomial Ensemble

V. E. Gorin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (294 kB) Citations (37)
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DOI: https://doi.org/10.4213/faa2910
Abstract: We compute the bulk limit of the correlation functions for the uniform measure on lozenge tilings of a hexagon. The limiting determinantal process is a translation-invariant extension of the discrete sine process, which can also be described by an ergodic Gibbs measure with appropriate parameters.
Keywords: tiling of a hexagon, plane partition, determinantal process, orthogonal polynomial ensemble.
Received: 12.03.2007
English version:
Functional Analysis and Its Applications, 2008, Volume 42, Issue 3, Pages 180–197
DOI: https://doi.org/10.1007/s10688-008-0027-1
Bibliographic databases:
Document Type: Article
UDC: 519.14+519.21
Language: Russian
Citation: V. E. Gorin, “Nonintersecting Paths and the Hahn Orthogonal Polynomial Ensemble”, Funktsional. Anal. i Prilozhen., 42:3 (2008), 23–44; Funct. Anal. Appl., 42:3 (2008), 180–197
Citation in format AMSBIB
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    • This publication is cited in the following 37 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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