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Título: Harmonic Functions And Potentials On Finite Or Infinite Networks (Vol. 12) | |
| Autor: Anandam, Victor | Precio: $684.30 | |
| Editorial: Springer-Verlag London Limited | Año: 2011 | |
| Tema: Matematicas | Edición: 1ª | |
| Sinopsis | ISBN: 9783642213984 | |
| 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. | ||
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