A non-Laplace harmonic structure in infinite networks

DOI10.1007/s40879-014-0013-5zbMath1319.31012OpenAlexW2062879246MaRDI QIDQ2354839

Premalatha Kumaresan, Nathiya Narayanaraju

Publication date: 27 July 2015

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-014-0013-5

zbMATH Keywords

harmonic sheaves on infinite networks

Mathematics Subject Classification ID

Axiomatic potential theory (31D05) Discrete potential theory (31C20)

Cites Work

• Harmonic functions and potentials on finite or infinite networks
• Parabolic and hyperbolic infinite networks
• Potential theory on infinite networks
• A simple criterion for transience of a reversible Markov chain
• Sur les moyennes des fonctions harmoniques et analytiques et la classification des surfaces de Riemann
• Infinite Electrical Networks
• Random Walks on Infinite Graphs and Groups
• Some classes of positive solutions of $\Delta u=Pu$ on Riemann surfaces. I.
• Some classes of positive solutions of $\Delta u=P u$ on Riemann surfaces. II.
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