Delta-functions on recurrent random walks

DOI10.35634/vm230108OpenAlexW4362635070MaRDI QIDQ6175502

Madhu Venkataraman, Varadha Raj Manivannan

Publication date: 18 August 2023

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vuu839

zbMATH Keywords

balayagerecurrent random walksDirichlet solutionsparabolic networks

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Probabilistic potential theory (60J45)

Cites Work

• Some potential-theoretic techniques in non-reversible Markov chains
• Harmonic functions and potentials on finite or infinite networks
• Recurrent networks and a theorem of Nash-Williams
• Potential-theoretic study of functions on an infinite network
• A simple criterion for transience of a reversible Markov chain
• The distribution of radial eigenvalues of the Euclidean Laplacian on homogeneous isotropic trees
• Random Walks on Infinite Graphs and Groups - a Survey on Selected topics
• Schrödinger networks and their Cartesian products
• Infinite Schrödinger networks
• A global Riesz decomposition theorem on trees without positive potentials
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