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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
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.
Received: 09.09.2022 Accepted: 30.01.2023
Citation:
V. R. Manivannan, M. Venkataraman, “$\Delta$-functions on recurrent random walks”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 33:1 (2023), 119–129
Linking options:
https://www.mathnet.ru/eng/vuu839 https://www.mathnet.ru/eng/vuu/v33/i1/p119
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Abstract page: | 87 | Full-text PDF : | 31 | References: | 15 |
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