Potential Theory on Infinite Networks
Potential Theory on Infinite Networks
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DOI：
10.1007/bfb0073995
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发表时间：
1994-11
期刊：
影响因子：
--
通讯作者：
P. Soardi
中科院分区：
文献类型：
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作者：
P. Soardi
本书的目的是为离散势理论和无限网络理论的新发展提供统一的方法。作者将自己限制在有限能量的情况下，但这并没有导致复杂性的损失。相反，泛函分析机制可以与黎曼流形上的势论类比。本书面向对以下领域之一具有跨学科兴趣的研究人员：马尔可夫链、组合图论、网络理论、狄利克雷空间、势论、抽象调和分析、边界理论。
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.