Transfinite Random Walks

  • Armen H. Zemanian

Abstract

The idea of a random walk on a graph is an idea of considerable importance in probability theory and has a variety of applications in the sciences as well as in other branches of mathematics. The recent survey of Woess [32] provides an excellent overview of the subject along with an extended bibliography. However, all that theory has been restricted to walks on conventional (finite and infinite) graphs. The recent advent of transfinite graphs invites an examination of random walks upon them. This immediately raises the question of how a random walk might wander through a transfinite node and thereby progress from one 0-section to another.

Keywords

Nash Nite Exter 

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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Armen H. Zemanian
    • 1
  1. 1.Department of Electrical EngineeringState University of New York at Stony BrookStony BrookUSA

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