Details

Subject(s)

• Potential theory (Mathematics) [Browse]
• Network analysis (Planning) [Browse]

Series

• Lecture notes in mathematics (Berlin) ; Volume 1590. [More in this series]
• Lecture Notes in Mathematics ; Volume 1590

Summary note

The aim of the book is to give a unified approach to new developments in discrete potential theory and infinite network theory. The author confines himself to the finite energy case, but this does not result in loss of complexity. On the contrary, the functional analytic machinery may be used in analogy with potential theory on Riemann manifolds. The book is intended for researchers with interdisciplinary interests in one of the following fields: Markov chains, combinatorial graph theory, network theory, Dirichlet spaces, potential theory, abstract harmonic analysis, theory of boundaries.

Notes

Bibliographic Level Mode of Issuance: Monograph

Source of description

Description based on print version record.

Language note

English

Contents

• Kirchhoff's laws
• Finite networks
• Currents and potentials withfinite energy
• Uniqueness and related topics
• Some examples and computations
• Royden's compactification
• Rough isometries.

Show 4 more Contents items

ISBN

3-540-48798-0

OCLC

• 1066179387
• 793079374

Doi

• 10.1007/BFb0073995

Statement on language in description

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