Extension of Foster's averaging formula to infinite networks with moderate growth

DOI10.1007/BF02572357zbMath0823.05033MaRDI QIDQ1895777

Guia Medolla, Paolo M. Soardi

Publication date: 29 August 1995

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174765

zbMATH Keywords

networkautomorphism groupmoderate growthDirichlet finite functionsFoster's averaging formula

Mathematics Subject Classification ID

Deterministic network models in operations research (90B10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Applications of graph theory to circuits and networks (94C15)

Related Items (2)

Lamplighter graphs do not admit harmonic functions of finite energy ⋮ On roughly transitive amenable graphs and harmonic Dirichlet functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Random walks and the effective resistance of networks
• Resistances and currents in infinite electrical networks
• Rough isometries and the parabolicity of Riemannian manifolds
• Random walks on graphs with a strong isoperimetric property
• On the norms of group-invariant transition operators on graphs
• A new proof of R. Foster's averaging formula in networks
• Uniqueness of currents in infinite resistive networks
• DEGREES OF GROWTH OF FINITELY GENERATED GROUPS, AND THE THEORY OF INVARIANT MEANS
• Infinite Electrical Networks
• Infinite networks: I--Resistive networks

This page was built for publication: Extension of Foster's averaging formula to infinite networks with moderate growth