Potential Theory on Infinite Networks / by Paolo M. Soardi.

Format:

Book

Author/Creator:

Soardi, Paolo M. (Paolo Maurizio), 1946- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1590.

Lecture Notes in Mathematics, 0075-8434 ; 1590

Language:

English

Subjects (All):

Distribution (Probability theory).

Combinatorial analysis.

Potential theory (Mathematics).

Probability Theory and Stochastic Processes.

Combinatorics.

Potential Theory.

Local Subjects:

Probability Theory and Stochastic Processes.

Combinatorics.

Potential Theory.

Physical Description:

1 online resource (VIII, 196 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994.

System Details:

text file PDF

Summary:

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.

Contents:

Kirchhoff's laws

Finite networks

Currents and potentials withfinite energy

Uniqueness and related topics

Some examples and computations

Royden's compactification

Rough isometries.

Other Format:

Printed edition:

ISBN:

9783540487982

Access Restriction:

Restricted for use by site license.