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Four Dimensions

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

Abstract

The critical dimension for intersections of two random walks, d = 4, will be studied in this chapter. The critical dimension is characterized by logarithmic behavior of the interesting quantities. The results in this chapter will be stronger than what we can prove in two and three dimensions— instead of just upper and lower bounds for probabilities we will be able to give asymptotic expressions.

Keywords

Random Walk Indicator Function Critical Dimension Asymptotic Expression Standard Normal Random Variable 
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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