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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2023, Volume 33, Issue 1, Pages 119–129
DOI: https://doi.org/10.35634/vm230108 (Mi vuu839) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

$\Delta$-functions on recurrent random walks

V. R. Manivannan, M. Venkataraman

School of Advanced Sciences, Vellore Institute of Technology University, Vellore, 632014, India
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DOI: https://doi.org/10.35634/vm230108
Abstract: If a random walk on a countable infinite state space is reversible, there are known necessary and sufficient conditions for the walk to be recurrent. When the condition of reversibility is dropped, by using discrete Dirichlet solutions and balayage (concepts familiar in potential theory) one could partially retrieve some of the above results concerning the recurrence and the transience of the random walk.
Keywords: parabolic networks, Dirichlet solutions, balayage, recurrent random walks.
Funding agency Grant number
Vellore Institute of Technology VIT/HR/2019/5944
The first author acknowledges the support given by the Vellore Institute of Technology through the Teaching cum Research Associate fellowship (VIT/HR/2019/5944 dated 18th September 2019).
Received: 09.09.2022
Accepted: 30.01.2023
Bibliographic databases:
Document Type: Article
UDC: 519.21, 531.26
MSC: 31D05, 60J45
Language: English
Citation: V. R. Manivannan, M. Venkataraman, “$\Delta$-functions on recurrent random walks”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 33:1 (2023), 119–129
Citation in format AMSBIB
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\paper $\Delta$-functions on recurrent random walks
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\yr 2023
\vol 33
\issue 1
\pages 119--129
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    • This publication is cited in the following 1 articles:
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