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Více informací o knize Harmonic Functions and Potentials on Finite or Infinite Networks

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Harmonic Functions and Potentials on Finite or Infinite Networks
• Autor: Victor Anandam
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 141
• EAN: 9783642213984
• ISBN: 3642213987
• ID: 01658094
• Nakladatelství: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Hmotnost: 248 g
• Rozměry: 241 × 187 × 10 mm
• Datum vydání: 29. June 2011

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