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Ends of Infinite Graphs, Potential Theory and Electrical Networks

  • M. A. Picardello
  • W. Woess
Part of the NATO ASI Series book series (ASIC, volume 301)

Abstract

We give an introductory survey on concepts and results concerning harmonic functions on infinite graphs with the goal of describing the interplay between graph structure and potential theory. A particular emphasis is on the connection between the Martin boundary for harmonic functions and the space of ends of the underlying graph. A variety of results is described.

Keywords

Random Walk Harmonic Function Transition Operator Cayley Graph Fuchsian Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • M. A. Picardello
    • 1
  • W. Woess
    • 2
    • 3
  1. 1.Dipartimento di Matematica Pura e ApplicataUniversità dell’AquilaL’AquilaItaly
  2. 2.Institut für Mathematik und Angewandte GeometrieMontanuniversität LeobenLeobenAustria
  3. 3.Dipartimento di MatematicaUniversità di MilanoMilanoItaly

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