∆-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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Bibliographic Details
Main Authors: Manivannan, V.R (Author), Venkataraman, M. (Author)
Format: Article
Language:English
Published: Udmurt State University 2023
Subjects:
Online Access:View Fulltext in Publisher
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245 1 0 |a ∆-FUNCTIONS ON RECURRENT RANDOM WALKS 
260 0 |b Udmurt State University  |c 2023 
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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