Potential theory on infinite networks
著者
書誌事項
Potential theory on infinite networks
（Lecture notes in mathematics, 1590）
Springer-Verlag, c1994
- : gw
- : us
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注記
Includes bibliography (p. [179]-183) and index
内容説明・目次
内容説明
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.
目次
Kirchhoff's laws.- Finite networks.- Currents and potentials withfinite energy.- Uniqueness and related topics.- Some examples and computations.- Royden's compactification.- Rough isometries.
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