Convergence of metric graphs and energy forms

DOI10.4171/RMI/605zbMath1196.31004MaRDI QIDQ986612

Atsushi Kasue

Publication date: 11 August 2010

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1275671307

zbMATH Keywords

network\(\Gamma\)-convergenceGromov-Hausdorff convergenceresistance formKuramochi compactificationresistance metric

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Discrete potential theory (31C20)

Related Items (13)

A note on Neumann problems on graphs ⋮ Boundary representation of Dirichlet forms on discrete spaces ⋮ Graph‐like spaces approximated by discrete graphs and applications ⋮ Self‐adjoint and Markovian extensions of infinite quantum graphs ⋮ Random walks and Kuramochi boundaries of infinite networks ⋮ Dirichlet finite harmonic functions and points at infinity of graphs and manifolds ⋮ EXPANSION CONSTANTS AND HYPERBOLIC EMBEDDINGS OF FINITE GRAPHS ⋮ Convergence of Dirichlet forms induced on boundaries of transient networks ⋮ Convergence of Riemannian manifolds and Laplace operators. II ⋮ Resolutive ideal boundaries of nonlinear resistive networks ⋮ Unnamed Item ⋮ Coverings and the heat equation on graphs: Stochastic incompleteness, the Feller property, and uniform transience ⋮ A characterization of effective resistance metrics

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