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Harris and Topological Recurrence

  • Sean P. Meyn
  • Richard L. Tweedie
Chapter
  • 607 Downloads
Part of the Communications and Control Engineering Series book series (CCE)

Abstract

In this chapter we consider stronger concepts of recurrence and link them with the dichotomy proved in Chapter 8. We also consider several obvious definitions of global and local recurrence and transience for chains on topological spaces, and show that they also link to the fundamental dichotomy.

Keywords

Random Walk Half Line Increment Analysis Recurrent State Strong Markov Property 
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

© Springer-Verlag London Limited 1993

Authors and Affiliations

  • Sean P. Meyn
    • 1
  • Richard L. Tweedie
    • 2
  1. 1.Coordinated Science Laboratory and the Department of Electrical and Computer EngineeringUniversity of IllinoisUrbanaUSA
  2. 2.Department of StatisticsColorado State UniversityFort CollinsUSA

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