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Recurrent Boundary Theory

  • John G. Kemeny
  • J. Laurie Snell
  • Anthony W. Knapp
Part of the Graduate Texts in Mathematics book series (GTM, volume 40)

Abstract

Boundary theory for recurrent chains proceeds along altogether different lines from the approach in Chapter 10. A clue to the difficulty is that every non-negative superregular function is constant, and hence the representation of such functions degenerates. Moreover, since a recurrent chain is in every state infinitely often with probability one, an almost-everywhere convergence theorem is out of the question.

Keywords

Boundary Point Independent Random Variable Representation Theorem Harmonic Measure Boundary Theory 
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 New York Inc. 1976

Authors and Affiliations

  • John G. Kemeny
    • 1
  • J. Laurie Snell
    • 2
  • Anthony W. Knapp
    • 3
  1. 1.Dartmouth CollegeHanoverGermany
  2. 2.Department of MathematicsDartmouth CollegeHanoverGermany
  3. 3.Department of MathematicsState University of New YorkStony BrookUSA

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