Harmonic Functions and Potentials on Finite or Infinite Networks

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) pote...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Anandam, Victor (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:Lecture Notes of the Unione Matematica Italiana, 12
Temas:
Potential theory (Mathematics).
Functions of complex variables.
Differential equations.
Potential Theory.
Functions of a Complex Variable.
Differential Equations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1 Laplace Operators on Networks and Trees
  • 2 Potential Theory on Finite Networks
  • 3 Harmonic Function Theory on Infinite Networks
  • 4 Schrödinger Operators and Subordinate Structures on Infinite Networks
  • 5 Polyharmonic Functions on Trees.

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