Delta-functions on recurrent random walks

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2023 English Publisher:Udmurt State UniversityJournal:Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, volume 33, pages 119-129 (issn: 1994-9197, eissn: 2076-5959,

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Authors: Manivannan, Varadha Raj; Venkataraman, Madhu;

doi: 10.35634/vm230108

Delta-functions on recurrent random walks

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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.

Related Organizations

Vellore Institute of Technology University
India

Keywords

Probabilistic potential theory, parabolic networks, Sums of independent random variables; random walks, Dirichlet solutions, balayage, recurrent random walks

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