Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 173, Number 3, Pages 453–467
DOI: https://doi.org/10.4213/tmf8338 (Mi tmf8338) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotic behavior of small deviations for Bogoliubov's Gaussian measure in the $L^p$ norm, $2\le p\le\infty$

V. R. Fatalov

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (513 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf8338
Abstract: We prove several results on exact asymptotic formulas for small deviations in the $L^p$-norm with $2\le p\le\infty$ for Bogoliubov's stationary Gaussian process $\xi(t)$. We prove the property of mutual absolute continuity for the conditional Bogoliubov measure and the conditional Wiener measure and calculate the Radon–Nikodym derivative.
Keywords: small deviation, Bogoliubov measure, conditional Wiener measure.
Received: 21.03.2012
English version:
Theoretical and Mathematical Physics, 2012, Volume 173, Issue 3, Pages 1720–1733
DOI: https://doi.org/10.1007/s11232-012-0143-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. R. Fatalov, “Asymptotic behavior of small deviations for Bogoliubov's Gaussian measure in the $L^p$ norm, $2\le p\le\infty$”, TMF, 173:3 (2012), 453–467; Theoret. and Math. Phys., 173:3 (2012), 1720–1733
Citation in format AMSBIB
\Bibitem{Fat12}
\by V.~R.~Fatalov
\paper Asymptotic behavior of small deviations for Bogoliubov's Gaussian measure in the~$L^p$ norm, $2\le p\le\infty$
\jour TMF
\yr 2012
\vol 173
\issue 3
\pages 453--467
\mathnet{http://mi.mathnet.ru/tmf8338}
\crossref{https://doi.org/10.4213/tmf8338}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3172206}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2012TMP...173.1720F}
\elib{https://elibrary.ru/item.asp?id=20732558}
\transl
\jour Theoret. and Math. Phys.
\yr 2012
\vol 173
\issue 3
\pages 1720--1733
\crossref{https://doi.org/10.1007/s11232-012-0143-1}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000313498800007}
\elib{https://elibrary.ru/item.asp?id=20485716}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84872361875}
Linking options:
  • https://www.mathnet.ru/eng/tmf8338
  • https://doi.org/10.4213/tmf8338
  • https://www.mathnet.ru/eng/tmf/v173/i3/p453
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:532
    Full-text PDF :171
    References:82
    First page:18
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024