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Potential Theory on Infinite Networks - Paolo M. Soardi

Potential Theory on Infinite Networks

(Autor)

Buch | Softcover
VIII, 196 Seiten
1994 | 1994
Springer Berlin (Verlag)
978-3-540-58448-3 (ISBN)
CHF 37,35 inkl. MwSt
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.

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

Erscheint lt. Verlag 26.10.1994
Reihe/Serie Lecture Notes in Mathematics
Zusatzinfo VIII, 196 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 316 g
Themenwelt Mathematik / Informatik Mathematik Graphentheorie
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Schlagworte boundary • combinatorics • dirichlet • discrete potential networks • graph theory • Harmonic Analysis • Infinite Networks • Markov Chain • Potential Theory
ISBN-10 3-540-58448-X / 354058448X
ISBN-13 978-3-540-58448-3 / 9783540584483
Zustand Neuware
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