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Synopsis
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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Présentation de l'éditeur
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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- ÉditeurSpringer
- Date d'édition2011
- ISBN 10 3642213987
- ISBN 13 9783642213984
- ReliureBroché
- Langueanglais
- Nombre de pages156
- Coordonnées du fabricantnon disponible
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Harmonic Functions and Potentials on Finite or Infinite Networks
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Springer Berlin Heidelberg, 2011
ISBN 10 : 3642213987
ISBN 13 : 9783642213984
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Harmonic Functions and Potentials on Finite or Infinite Networks
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Springer Berlin Heidelberg, 2011
ISBN 10 : 3642213987
ISBN 13 : 9783642213984
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Harmonic Functions and Potentials on Finite or Infinite Networks
Edité par
Springer Berlin Heidelberg, 2011
ISBN 10 : 3642213987
ISBN 13 : 9783642213984
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N° de réf. du vendeur 9783642213984
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Harmonic Functions and Potentials on Finite or Infinite Networks
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Springer Berlin Heidelberg Jun 2011, 2011
ISBN 10 : 3642213987
ISBN 13 : 9783642213984
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 156 pp. Englisch. N° de réf. du vendeur 9783642213984
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Harmonic Functions and Potentials on Finite or Infinite Networks (Lecture Notes of the Unione Matematica Italiana, 12)
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Harmonic Functions and Potentials on Finite or Infinite Networks
Edité par
Springer Berlin Heidelberg, Springer Berlin Heidelberg Jun 2011, 2011
ISBN 10 : 3642213987
ISBN 13 : 9783642213984
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 156 pp. Englisch. N° de réf. du vendeur 9783642213984
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Harmonic Functions and Potentials on Finite or Infinite Networks
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