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Matematicheskie Zametki, 2023, Volume 113, Issue 4, Pages 560–576
DOI: https://doi.org/10.4213/mzm13394 (Mi mzm13394) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotics of the Number of End Positions of a Random Walk on a Directed Hamiltonian Metric Graph

D. V. Pyatko, V. L. Chernyshev

National Research University Higher School of Economics
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DOI: https://doi.org/10.4213/mzm13394
Abstract: The asymptotics of the number of end positions of a random walk on an oriented Hamiltonian metric graph is obtained.
Keywords: counting function, directed graph, dynamical system, Bernoulli–Barnes polynomial.
Funding agency Grant number
Russian Foundation for Basic Research 20-07-01103 а
This work was supported by the Russian Foundation for Basic Research under grant 20-07-01103 a.
Received: 14.12.2021
Revised: 28.10.2022
Published: 05.04.2023
English version:
Mathematical Notes, 2023, Volume 113, Issue 4, Pages 538–551
DOI: https://doi.org/10.1134/S0001434623030252
Bibliographic databases:
Document Type: Article
UDC: 519.1
MSC: 11N45, 37A50, 57M15
Language: Russian
Citation: D. V. Pyatko, V. L. Chernyshev, “Asymptotics of the Number of End Positions of a Random Walk on a Directed Hamiltonian Metric Graph”, Mat. Zametki, 113:4 (2023), 560–576; Math. Notes, 113:4 (2023), 538–551
Citation in format AMSBIB
\Bibitem{PyaChe23}
\by D.~V.~Pyatko, V.~L.~Chernyshev
\paper Asymptotics of the Number of End Positions of a Random Walk on a Directed Hamiltonian Metric Graph
\jour Mat. Zametki
\yr 2023
\vol 113
\issue 4
\pages 560--576
\mathnet{http://mi.mathnet.ru/mzm13394}
\crossref{https://doi.org/10.4213/mzm13394}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4582577}
\transl
\jour Math. Notes
\yr 2023
\vol 113
\issue 4
\pages 538--551
\crossref{https://doi.org/10.1134/S0001434623030252}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85153296629}
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    • This publication is cited in the following 1 articles:
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