Potential theory on infinite networks

Author(s)

• Soardi, Paolo M. (Paolo Maurizio)

Bibliographic Information

Potential theory on infinite networks

Paolo M. Soardi

（Lecture notes in mathematics, 1590）

Springer-Verlag, c1994

• : gw
• : us

Note

Includes bibliography (p. [179]-183) and index

Description and Table of Contents

Description

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.

Table of Contents

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

by "Nielsen BookData"

Details

• NCID: BA23704833
• ISBN:
  • 354058448X
  • 038758448X
• LCCN: 94034403
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin ; New York
• Pages/Volumes: viii, 187 p.
• Size: 24 cm
• Classification:
  • NDC8 : 410.8
  • LCC : QA3
  • LCC : QA404.7
  • DC20 : 510 s
  • DC20 : 515/.9
• Subject Headings:
  • LCSH : Potential theory (Mathematics)
  • LCSH : Network analysis (Planning)
• Parent Bibliography ID:
  • BA00146586