Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
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


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Sbornik, 1972, Volume 18, Issue 3, Pages 529–540
DOI: https://doi.org/10.1070/SM1972v018n03ABEH001843 (Mi sm3245) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Combinatorial methods for investigating the distribution of the trajectory amplitude of a random walk

V. K. Zakharov, O. V. Sarmanov
English version PDF (631 kB) Citations (2) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1972v018n03ABEH001843
Abstract: Exact formulas are derived for the number of trajectories of a Bernoulli random walk which have a fixed number of successes and predetermined maximum and minimum values. The asymptotic distribution is found for the indeterminate part of the amplitude for large deviations. The exact distribution of the trajectory amplitude of a Wiener process is also found and investigated.
Bibliography: 4 titles.
Received: 06.04.1972
Bibliographic databases:
UDC: 518+519.2
MSC: Primary 60C05, 60J15; Secondary 60F10, 60J65
Language: English
Original paper language: Russian
Citation: V. K. Zakharov, O. V. Sarmanov, “Combinatorial methods for investigating the distribution of the trajectory amplitude of a random walk”, Math. USSR-Sb., 18:3 (1972), 529–540
Citation in format AMSBIB
\Bibitem{ZakSar72}
\by V.~K.~Zakharov, O.~V.~Sarmanov
\paper Combinatorial methods for investigating the distribution of the trajectory amplitude of a~random walk
\jour Math. USSR-Sb.
\yr 1972
\vol 18
\issue 3
\pages 529--540
\mathnet{http://mi.mathnet.ru/eng/sm3245}
\crossref{https://doi.org/10.1070/SM1972v018n03ABEH001843}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=334333}
\zmath{https://zbmath.org/?q=an:0271.60076}
Linking options:
  • https://www.mathnet.ru/eng/sm3245
  • https://doi.org/10.1070/SM1972v018n03ABEH001843
  • https://www.mathnet.ru/eng/sm/v131/i3/p520
    Cycle of papers
    This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:626
    Russian version PDF:238
    English version PDF:43
    References:109
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025