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Loop-Erased Walk

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

Abstract

In this chapter we discuss the loop-erased or Laplacian self-avoiding random walk. We will primarily use the loop-erased characterization of the walk because it is the one that allows for rigorous analysis of the model. In Proposition 7.3.1 we show that this is the same as the Laplacian random walk defined in Section 6.5.

Keywords

Brownian Motion Random Walk Indicator Function Standard Brownian Motion Logarithmic Correction 
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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