Potential theory on infinite networks / Paolo M. Soardi.

Author
Soardi, Paolo M. (Paolo Maurizio), 1946- [Browse]
Format
Book
Language
English
Εdition
1st ed. 1994.
Published/​Created
  • Berlin, Heidelberg : Springer-Verlag, [1994]
  • ©1994
Description
1 online resource (VIII, 196 p.)

Details

Subject(s)
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.
ISBN
3-540-48798-0
OCLC
  • 1066179387
  • 793079374
Doi
  • 10.1007/BFb0073995
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