Potential Theory on Infinite Networks

Soardi Paolo M.

ISBN 10: 354058448X / ISBN 13: 9783540584483

Editore: Springer, 1994

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pp. 204.

Codice articolo 183104547

Dati bibliografici

• Titolo: Potential Theory on Infinite Networks
• Editore: Springer
• Data di pubblicazione: 1994
• Lingua: Inglese
• ISBN 10: 354058448X
• ISBN 13: 9783540584483
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

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.

Contenuti

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