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Topological groups and recurrence of quasi transitive graphs

  • Wolfgang Woess
Conferenze

Abstract

We present all steps which are necessary in order to classify all locally finite, infinite graphs which carry a quasi transitive random walk that is recurrent. Some new and/or simpler proofs are given. Most of them rely on the fact that autmomorphism groups of locally finite graphs are locally compact with respect to the topology of pointwise convergence—this allows the use of integration on these groups.

Keywords

Random Walk Topological Group Cayley Graph Isoperimetric Inequality Polynomial Growth 
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

© Birkhäuser-Verlag 1994

Authors and Affiliations

  • Wolfgang Woess
    • 1
  1. 1.Dipartimento di MatematicaUniversità di MilanoMilanoItalia

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