Simple Random Walk

  • Gregory F. Lawler
Part of the Probability and Its Applications book series (PA)

Abstract

Let X 1, X 2, ... be independent, identically distributed random variables defined on a probability space (Ω, F, P) taking values in the integer lattice Z d with
$$ P\{ {X_j} = e\} \frac{1}{{2{d^,}}},\;\left| e \right| $$

Keywords

Random Walk Harmonic Function Dirichlet Problem Bounded Function HARNACK Inequality 
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 Science+Business Media New York 1991

Authors and Affiliations

  • Gregory F. Lawler
    • 1
  1. 1.Department of MathematicsDuck UniversityDurhamUSA

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