Convergence of Dirichlet forms induced on boundaries of transient networks

DOI10.1007/s11118-017-9613-2zbMath1375.31012OpenAlexW2582823339MaRDI QIDQ2014234

Atsushi Kasue

Publication date: 10 August 2017

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-017-9613-2

zbMATH Keywords

networkDirichlet formKuramochi boundary

Mathematics Subject Classification ID

Discrete potential theory (31C20) Infinite graphs (05C63)

Related Items (5)

A note on Neumann problems on graphs ⋮ Boundary representation of Dirichlet forms on discrete spaces ⋮ Self‐adjoint and Markovian extensions of infinite quantum graphs ⋮ <i>H</i>-Compactness of Elliptic Operators on Weighted Riemannian Manifolds ⋮ Resolutive ideal boundaries of nonlinear resistive networks

Cites Work

• Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains
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• Parabolic and hyperbolic infinite networks
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• Dirichlet forms and symmetric Markov processes
• Potential theory on infinite networks
• Spectral convergence of Riemannian manifolds. II
• Random walks and Kuramochi boundaries of infinite networks
• Dirichlet forms and associated heat kernels on the Cantor set induced by random walks on trees
• Convergence of spectral structures: a functional analytic theory and its applications to spectral geometry
• Boundary properties of functions with finite Dirichlet integrals
• Random Walks on Infinite Graphs and Groups
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