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Teoriya Veroyatnostei i ee Primeneniya, 2021, Volume 66, Issue 4, Pages 657–675
DOI: https://doi.org/10.4213/tvp5517
(Mi tvp5517)
 

This article is cited in 2 scientific papers (total in 2 papers)

On the sojourn time distribution of a random walk at a multidimensional lattice point

A. A. Aparin, G. A. Popov, E. B. Yarovaya

Lomonosov Moscow State University
Full-text PDF (462 kB) Citations (2)
References:
Abstract: We consider critical symmetric branching random walks on a multidimensional lattice with continuous time and with the source of particle birth and death at the origin. We prove limit theorems on the distribution of the sojourn time of the underlying random walk at a point depending on the lattice dimension under the assumption of finite variance and under a condition leading to infinite variance of jumps. We study the limit distribution of the population of particles at the source for recurrent critical branching random walks.
Keywords: branching random walk, multidimensional lattice, particle population distribution at a lattice point, variance of jumps, functional limit theorem, method of moments.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00487
This research was carried out with the financial support of the Russian Foundation for Basic Research (project 20-01-00487) at the Lomonosov Moscow State University.
Received: 22.05.2021
Accepted: 06.07.2021
English version:
Theory of Probability and its Applications, 2022, Volume 66, Issue 4, Pages 522–536
DOI: https://doi.org/10.1137/S0040585X97T990599
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Aparin, G. A. Popov, E. B. Yarovaya, “On the sojourn time distribution of a random walk at a multidimensional lattice point”, Teor. Veroyatnost. i Primenen., 66:4 (2021), 657–675; Theory Probab. Appl., 66:4 (2022), 522–536
Citation in format AMSBIB
\Bibitem{ApaPopYar21}
\by A.~A.~Aparin, G.~A.~Popov, E.~B.~Yarovaya
\paper On the sojourn time distribution of a~random walk at a~multidimensional lattice point
\jour Teor. Veroyatnost. i Primenen.
\yr 2021
\vol 66
\issue 4
\pages 657--675
\mathnet{http://mi.mathnet.ru/tvp5517}
\crossref{https://doi.org/10.4213/tvp5517}
\zmath{https://zbmath.org/?q=an:7481224}
\transl
\jour Theory Probab. Appl.
\yr 2022
\vol 66
\issue 4
\pages 522--536
\crossref{https://doi.org/10.1137/S0040585X97T990599}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85129660947}
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  • https://www.mathnet.ru/eng/tvp5517
  • https://doi.org/10.4213/tvp5517
  • https://www.mathnet.ru/eng/tvp/v66/i4/p657
  • 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
    Теория вероятностей и ее применения Theory of Probability and its Applications
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    Abstract page:457
    Full-text PDF :115
    References:60
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