Teoriya Veroyatnostei i ee Primeneniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Teor. Veroyatnost. i Primenen.:
Year:
Volume:
Issue:
Page:
Find




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

Teoriya Veroyatnostei i ee Primeneniya, 1998, Volume 43, Issue 4, Pages 735–751
DOI: https://doi.org/10.4213/tvp2029 (Mi tvp2029) 		 
This article is cited in 23 scientific papers (total in 23 papers)

Maslov idempotent probability calculus, I

P. Del Morala, M. Doisyab

a LSP-UMR, Univ. Paul Sabatier, France
b ENSEEIHT, France
Full-text PDF (2408 kB) Citations (23)
DOI: https://doi.org/10.4213/tvp2029
Abstract: Maslov's idempotent measures allow an optimization theory to be derived at the same level of generality as probability and stochastic process theory. One purpose of this work is to present the basic concepts of this $(\max,+)$-version of probability theory. Using this framework we will see that the Bellman optimality principle is the idempotent version of the classical Markov causality principle. Applications to optimal control problems, Hamilton–Jacobi equations, and mathematical morphology are discussed in the second part of this study.
Keywords: optimization theory, Maslov idempotent measure, idempotent probability calculus, Bellman–Markov processes.
Received: 10.06.1998
English version:
Theory of Probability and its Applications, 1999, Volume 43, Issue 4, Pages 562–576
DOI: https://doi.org/10.1137/S0040585X97977161
Bibliographic databases:
Language: English
Citation: P. Del Moral, M. Doisy, “Maslov idempotent probability calculus, I”, Teor. Veroyatnost. i Primenen., 43:4 (1998), 735–751; Theory Probab. Appl., 43:4 (1999), 562–576
Citation in format AMSBIB
\Bibitem{DelDoi98}
\by P.~Del Moral, M.~Doisy
\paper Maslov idempotent probability calculus,~I
\jour Teor. Veroyatnost. i Primenen.
\yr 1998
\vol 43
\issue 4
\pages 735--751
\mathnet{http://mi.mathnet.ru/tvp2029}
\crossref{https://doi.org/10.4213/tvp2029}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1692409}
\zmath{https://zbmath.org/?q=an:0952.60001}
\transl
\jour Theory Probab. Appl.
\yr 1999
\vol 43
\issue 4
\pages 562--576
\crossref{https://doi.org/10.1137/S0040585X97977161}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000085137600003}
Linking options:
  • https://www.mathnet.ru/eng/tvp2029
  • https://doi.org/10.4213/tvp2029
  • https://www.mathnet.ru/eng/tvp/v43/i4/p735
    Cycle of papers
    This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
    Statistics & downloads:
    Abstract page:519
    Full-text PDF :214
    First page:36
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024