| 书目名称 | Harmonic Functions and Potentials on Finite or Infinite Networks |
| 编辑 | Victor Anandam |
| 视频video | |
| 概述 | Number of examples to illustrate the main theory..Historical perspectives included to show the development of potential theory in various forms..Self-contained text for an easy reading..Includes suppl |
| 丛书名称 | Lecture Notes of the Unione Matematica Italiana |
| 图书封面 |  |
| 描述 | Random walks, Markov chains and electrical networks serve as an introduction to the study of real-valued functions on finite or infinite graphs, with appropriate interpretations using probability theory and current-voltage laws. The relation between this type of function theory and the (Newton) potential theory on the Euclidean spaces is well-established. The latter theory has been variously generalized, one example being the axiomatic potential theory on locally compact spaces developed by Brelot, with later ramifications from Bauer, Constantinescu and Cornea. A network is a graph with edge-weights that need not be symmetric. This book presents an autonomous theory of harmonic functions and potentials defined on a finite or infinite network, on the lines of axiomatic potential theory. Random walks and electrical networks are important sources for the advancement of the theory. |
| 出版日期 | Book 2011 |
| 关键词 | 31C20; 31D05; 30F20; 31A30; 15A09; Discrete Laplace and Schrödinger operators; Discrete harmonic funct |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-21399-1 |
| isbn_softcover | 978-3-642-21398-4 |
| isbn_ebook | 978-3-642-21399-1Series ISSN 1862-9113 Series E-ISSN 1862-9121 |
| issn_series | 1862-9113 |
| copyright | Springer-Verlag Berlin Heidelberg 2011 |
发表于 2025-3-21 18:26:41
