Russian Mathematical Surveys
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Uspekhi Mat. Nauk:
Year:
Volume:
Issue:
Page:
Find




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

Russian Mathematical Surveys, 2001, Volume 56, Issue 4, Pages 687–708
DOI: https://doi.org/10.1070/RM2001v056n04ABEH000416 (Mi rm416) 		 
This article is cited in 9 scientific papers (total in 9 papers)

A one-dimensional gravitationally interacting gas and the convex minorant of Brownian motion

T. M. Suidan

Princeton University
English version PDF (276 kB) Citations (9) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/RM2001v056n04ABEH000416
Abstract: The surprising connection between a one-dimensional gravitationally interacting gas of sticky particles and the convex minorant process generated by Brownian motion on $[0,1]$ is studied. A study is made of the dynamics of this 1-D gas system by identifying three distinct clustering regimes and the time scales at which they occur. At the critical moment of time the mass distribution of the gas can be computed in terms of functionals of the convex minorant process.
Received: 13.06.2001
Bibliographic databases:
Document Type: Article
UDC: 517.95+519.21
MSC: Primary 60J65, 82C40; Secondary 82C41, 85A99
Language: English
Original paper language: Russian
Citation: T. M. Suidan, “A one-dimensional gravitationally interacting gas and the convex minorant of Brownian motion”, Russian Math. Surveys, 56:4 (2001), 687–708
Citation in format AMSBIB
\Bibitem{Sui01}
\by T.~M.~Suidan
\paper A~one-dimensional gravitationally interacting gas and the convex minorant of Brownian motion
\jour Russian Math. Surveys
\yr 2001
\vol 56
\issue 4
\pages 687--708
\mathnet{http://mi.mathnet.ru//eng/rm416}
\crossref{https://doi.org/10.1070/RM2001v056n04ABEH000416}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1861441}
\zmath{https://zbmath.org/?q=an:1114.82305}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2001RuMaS..56..687S}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000172882900003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0035634852}
Linking options:
  • https://www.mathnet.ru/eng/rm416
  • https://doi.org/10.1070/RM2001v056n04ABEH000416
  • https://www.mathnet.ru/eng/rm/v56/i4/p73
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:408
    Russian version PDF:222
    English version PDF:33
    References:51
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024