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Funktsional. Anal. i Prilozhen., 2000, Volume 34, Issue 1, Pages 12–28 (Mi faa279)  

This article is cited in 8 scientific papers (total in 8 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

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.

DOI: https://doi.org/10.4213/faa279

Full text: PDF file (1642 kB)
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English version:
Functional Analysis and Its Applications, 2000, 34:1, 10–23

Bibliographic databases:

UDC: 517.986
Received: 16.09.1998

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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\paper Characters of the Symmetric Groups and Correlation Functions of Point Processes
\jour Funktsional. Anal. i Prilozhen.
\yr 2000
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\pages 12--28
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\jour Funct. Anal. Appl.
\yr 2000
\vol 34
\issue 1
\pages 10--23
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. 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
    2. 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
    3. Lyons, R, “Determinantal probability measures”, Publications Mathematiques de l'IHES, No 98, 2003, no. 98, 167  crossref  mathscinet  zmath  isi
    4. 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
    5. 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
    6. 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
    7. Borodin, A, “Random partitions and the gamma kernel”, Advances in Mathematics, 194:1 (2005), 141  crossref  mathscinet  zmath  isi  scopus
    8. Dehaye P.-Olivier, “Joint moments of derivatives of characteristic polynomials”, Algebra & Number Theory, 2:1 (2008), 31–68  crossref  mathscinet  zmath  isi  scopus
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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