Resistance Boundaries of Infinite Networks

DOI10.1007/978-3-0346-0244-0_7zbMath1223.05175arXiv0909.1518OpenAlexW2120065419MaRDI QIDQ5198977

Palle E. T. Jorgensen, Erin P. J. Pearse

Publication date: 10 August 2011

Published in: Random Walks, Boundaries and Spectra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.1518

zbMATH Keywords

treeHilbert spaceMarkov processboundary representationharmonic analysisweighted graphtransiencereproducing kernelDirichlet formorthogonalityrandom walkboundary theorydiscrete potential theoryeffective resistancegraph energyunbounded linear operatorsresistance formelectrical resistance networkmartin boundarygraph laplacian

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Martin boundary theory (31C35) Structural characterization of families of graphs (05C75) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Discrete potential theory (31C20) Linear difference operators (47B39) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

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