∆-FUNCTIONS ON RECURRENT RANDOM WALKS
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 p...
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Format: | Article |
Language: | English |
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Udmurt State University
2023
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Online Access: | View Fulltext in Publisher View in Scopus |
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245 | 1 | 0 | |a ∆-FUNCTIONS ON RECURRENT RANDOM WALKS |
260 | 0 | |b Udmurt State University |c 2023 | |
300 | |a 11 | ||
856 | |z View Fulltext in Publisher |u https://doi.org/10.35634/vm230108 | ||
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520 | 3 | |a 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. © 2023 Udmurt State University. All rights reserved. | |
650 | 0 | 4 | |a balayage |
650 | 0 | 4 | |a Dirichlet solutions |
650 | 0 | 4 | |a parabolic networks |
650 | 0 | 4 | |a recurrent random walks |
700 | 1 | 0 | |a Manivannan, V.R. |e author |
700 | 1 | 0 | |a Venkataraman, M. |e author |
773 | |t Vestnik Udmurtskogo Universiteta: Matematika, Mekhanika, Komp'yuternye Nauki |