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Home » Issues » Archive of Issues » 2023 - 1 issue » pp. 119-129

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India Vellore
Year
2023
Volume
33
Issue
1
Pages
119-129
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Section Mathematics
Title $\Delta$-functions on recurrent random walks
Author(-s) Manivannan V.R.a, Venkataraman M.a
Affiliations Vellore Institute of Technology Vellorea
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
UDC 519.21, 531.26
MSC 31D05, 60J45
DOI 10.35634/vm230108
Received 9 September 2022
Language English
Citation Manivannan V.R., Venkataraman M. $\Delta$-functions on recurrent random walks, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2023, vol. 33, issue 1, pp. 119-129.
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