Potential theory on finite networks

DOI10.1016/j.endm.2014.08.016zbMath1338.94114OpenAlexW1996379040MaRDI QIDQ283684

F. Blanchet-Sadri, M. Dambrine

Publication date: 13 May 2016

Full work available at URL: https://doi.org/10.1016/j.endm.2014.08.016

zbMATH Keywords

Markov chainsSchrödinger operatorsGreen functionselectrical networksdiscrete potential theorysingular \(M\)-matrices

Mathematics Subject Classification ID

Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Analytic circuit theory (94C05) Discrete potential theory (31C20)

Related Items (2)

Resistance distances on networks ⋮ Infinite Schrödinger networks

Cites Work

• Harmonic functions and potentials on finite or infinite networks
• The \(M\)-matrix inverse problem for singular and symmetric Jacobi matrices
• Kirchhoff indexes of a network
• Characterization of symmetric \(M\)-matrices as resistive inverses
• A note on distance-regular graphs with a small number of vertices compared to the valency
• Potential theory for Schrödinger operators on finite networks
• Discrete Serrin's problem
• Distance–regular graphs having theM-property

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