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Funktsional'nyi Analiz i ego Prilozheniya, 2000, Volume 34, Issue 1, Pages 12–28
DOI: https://doi.org/10.4213/faa279 (Mi faa279) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Characters of the Symmetric Groups and Correlation Functions of Point Processes

A. M. Borodinab

a Institute for Information Transmission Problems, Russian Academy of Sciences
b Pennsylvania State University
Full-text PDF (1642 kB) Citations (10)
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DOI: https://doi.org/10.4213/faa279
Abstract: A method for computing the correlation functions of stochastic point processes arising in the decomposition problem for characters of the infinite symmetric group is presented.
Received: 16.09.1998
English version:
Functional Analysis and Its Applications, 2000, Volume 34, Issue 1, Pages 10–23
DOI: https://doi.org/10.1007/BF02467063
Bibliographic databases:
Document Type: Article
UDC: 517.986
Language: Russian
Citation: A. M. Borodin, “Characters of the Symmetric Groups and Correlation Functions of Point Processes”, Funktsional. Anal. i Prilozhen., 34:1 (2000), 12–28; Funct. Anal. Appl., 34:1 (2000), 10–23
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/faa279
  • https://doi.org/10.4213/faa279
  • https://www.mathnet.ru/eng/faa/v34/i1/p12
    • This publication is cited in the following 10 articles:
    1. Eugene Strahov, “Generalized regular representations of big wreath products”, Isr. J. Math., 2025  crossref
    2. Dehaye P.-Olivier, “Joint moments of derivatives of characteristic polynomials”, Algebra & Number Theory, 2:1 (2008), 31–68  crossref  mathscinet  zmath  isi  scopus
    3. Borodin, A, “Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes”, Annals of Mathematics, 161:3 (2005), 1319  crossref  mathscinet  zmath  isi  scopus
    4. Borodin, A, “Random partitions and the gamma kernel”, Advances in Mathematics, 194:1 (2005), 141  crossref  mathscinet  zmath  isi  scopus
    5. Olshanski, C, “An introduction to harmonic analysis on the infinite symmetric group”, Asymptotic Combinatorics With Applications To Mathematical Physics, 1815 (2003), 127  crossref  mathscinet  zmath  isi
    6. Lyons, R, “Determinantal probability measures”, Publications Mathematiques de l'IHES, No 98, 2003, no. 98, 167  crossref  mathscinet  zmath  isi
    7. Olshanski, G, “The problem of harmonic analysis on the infinite-dimensional unitary group”, Journal of Functional Analysis, 205:2 (2003), 464  crossref  mathscinet  zmath  isi  scopus
    8. Olshanski G., “Point processes related to the infinite symmetric group”, Orbit Method in Geometry and Physics - in Honor of a.a. Kirillov, Progress in Mathematics, 213, 2003, 349–393  mathscinet  zmath  isi
    9. Grigori Olshanski, The Orbit Method in Geometry and Physics, 2003, 349  crossref
    10. Borodin, A, “Distributions on partitions, point processes, and the hypergeometric kernel”, Communications in Mathematical Physics, 211:2 (2000), 335  crossref  mathscinet  zmath  adsnasa  isi  scopus
    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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