Moscow Mathematical Journal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mosc. Math. J.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Moscow Mathematical Journal, 2012, Volume 12, Number 4, Pages 719–745
DOI: https://doi.org/10.17323/1609-4514-2012-12-4-719-745 (Mi mmj478) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Random Young Diagrams in a Rectangular Box

Dan Beltofta, Cédric Boutillierbc, Nathanaël Enriquezd

a Aarhus University, Department of Math. Sciences, Ny Munkegade 118, 8000, Aarhus C, Denmark
b Université Pierre et Marie Curie, Laboratoire LPMA, 4 place Jussieu 75005, Paris, France
c École Normale Supérieure, DMA, 45 rue d’Ulm 75005 Paris, France
d Université Paris-Ouest, Laboratoire MODAL’X, 200 Av. de la République 92001, Nanterre, France
Full-text PDF Citations (8)
References:
PDF
HTML
DOI: https://doi.org/10.17323/1609-4514-2012-12-4-719-745
Abstract: We exhibit the limit shape of random Young diagrams having a distribution proportional to the exponential of their area (grand-canonical ensemble), and confined in a rectangular box. The Ornstein–Uhlenbeck bridge arises from the fluctuations around the limit shape. The fluctuations for the unconfined case lead to a two-sided stationary Ornstein–Uhlenbeck process.
Key words and phrases: Young diagrams, Gauss polynomials, Ornstein–Uhlenbeck process.
Received: October 26, 2010; in revised form December 15, 2011
Bibliographic databases:
Document Type: Article
MSC: 60C05, 60F17, 05A10, 05A15, 05A30
Language: English
Citation: Dan Beltoft, Cédric Boutillier, Nathanaël Enriquez, “Random Young Diagrams in a Rectangular Box”, Mosc. Math. J., 12:4 (2012), 719–745
Citation in format AMSBIB
\Bibitem{BelBouEnr12}
\by Dan~Beltoft, C\'edric~Boutillier, Nathana\"el~Enriquez
\paper Random Young Diagrams in a Rectangular Box
\jour Mosc. Math.~J.
\yr 2012
\vol 12
\issue 4
\pages 719--745
\mathnet{http://mi.mathnet.ru/mmj478}
\crossref{https://doi.org/10.17323/1609-4514-2012-12-4-719-745}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076852}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000314341500004}
Linking options:
  • https://www.mathnet.ru/eng/mmj478
  • https://www.mathnet.ru/eng/mmj/v12/i4/p719
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Moscow Mathematical Journal
    Statistics & downloads:
    Abstract page:170
    References:49
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024