Potential theory on infinite networks / Paolo M. Soardi.

Author
Soardi, Paolo M. (Paolo Maurizio), 1946- [Browse]
Format
Book
Language
English
Published/​Created
Heidelberg ; New York : Springer-Verlag, ©1994.
Description
viii, 187 pages : illustrations ; 24 cm

Availability

Copies in the Library

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Lewis Library - Stacks QA3 .L28 no.1590 Browse related items Request

    Details

    Subject(s)
    Series
    • Lecture notes in mathematics (Springer-Verlag) ; 1590. [More in this series]
    • Lecture notes in mathematics ; 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.
    Bibliographic references
    Includes bibliographical references (p. [179]-183) and index.
    Contents
    Introduction ---- Kirchhoff's laws --- Finite networks --- Currents and potentials with finite energy --- Uniqueness and related topics --- Some examples and computations --- Royden's compactification --- Rough isometries --- Appendix: Nonlinear networks.
    Other format(s)
    Also available in an electronic version.
    ISBN
    • 354058448X
    • 9783540584483
    • 038758448X
    • 9780387584485
    LCCN
    94034403
    OCLC
    31011136
    International Article Number
    • 9783540584483
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