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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 207, Number 1, Pages 104–111
DOI: https://doi.org/10.4213/tmf10014 (Mi tmf10014) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The number of endpoints of a random walk on a semi-infinite metric path graph

V. L. Chernysheva, D. S. Minenkovb, A. A. Tolchennikovcb

a National Research University "Higher School of Economics", Moscow, Russia
b Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
c Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (408 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf10014
Abstract: We study a semi-infinite metric path graph and construct the long-time asymptotic logarithm of the number of possible endpoints of a random walk.
Keywords: abstract prime number, counting function, Bose–Maslov distribution.
Funding agency Grant number
Russian Science Foundation 16-11-10069
This research is supported by a grant from the Russian Science Foundation (Project No. 16-11-10069).
Received: 25.11.2020
Revised: 25.11.2020
English version:
Theoretical and Mathematical Physics, 2021, Volume 207, Issue 1, Pages 487–493
DOI: https://doi.org/10.1134/S0040577921040073
Bibliographic databases:
Document Type: Article
MSC: 81Q35, 37E25, 11N80, 11N45
Language: Russian
Citation: V. L. Chernyshev, D. S. Minenkov, A. A. Tolchennikov, “The number of endpoints of a random walk on a semi-infinite metric path graph”, TMF, 207:1 (2021), 104–111; Theoret. and Math. Phys., 207:1 (2021), 487–493
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf10014
  • https://doi.org/10.4213/tmf10014
  • https://www.mathnet.ru/eng/tmf/v207/i1/p104
    • This publication is cited in the following 3 articles:
    1. Andrew Eliseev, Vsevolod L. Chernyshev, “Upper bound on saturation time of metric graphs by intervals moving on them”, Journal of Mathematical Analysis and Applications, 531:2 (2024), 127873  crossref  mathscinet
    2. M. V. Vakhitov, D.i S. Minenkov, “On logarithmic asymptotics for the number of restricted partitions in the exponential case”, Moscow J. Comb. Number Th., 12:4 (2023), 297  crossref  mathscinet
    3. D. S. Minenkov, V. E. Nazaikinskii, T. W. Hilberdink, V. L. Chernyshev, “Restricted partions: the polynomial case”, Funct. Anal. Appl., 56:4 (2022), 299–309  mathnet  crossref  crossref
    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
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    Abstract page:308
    Full-text PDF :63
    References:58
    First page:14
     
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