Harmonic Functions and Potentials on Finite or Infinite Networks: 12 (Lecture Notes of the Unione Matematica Italiana) - Tapa blanda

Libro 11 de 26: Lecture Notes of the Unione Matematica Italiana

Anandam, Victor

 
9783642213984: Harmonic Functions and Potentials on Finite or Infinite Networks: 12 (Lecture Notes of the Unione Matematica Italiana)
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ISBN 10: 3642213987 ISBN 13: 9783642213984
Editorial: Springer, 2011

Sinopsis

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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De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2011
Idioma
Inglés
ISBN 10 
3642213987
ISBN 13 
9783642213984
Encuadernación
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Número de páginas
156
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9783642214004: Harmonic Functions and Potentials on Finite or Infinite Networks

Edición Destacada

ISBN 10:  3642214002 ISBN 13:  9783642214004
Editorial: Springer, 2011
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