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Intersections of random walks with random sets

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Abstract

Two general theorems about the intersections of a random walk with a random set are proved. The result is applied to the cases when the random set is a (deterministic) half-line and a two-sided random walk.

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Authors and Affiliations

  1. Department of Mathematics, Duke University, 27706, Durham, NC, USA

    Gregory F. Lawler

Authors
  1. Gregory F. Lawler
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Additional information

Research supported by NSF Grant DMS-8702879 and an Alfred P. Sloan Research Fellowship.

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Lawler, G.F. Intersections of random walks with random sets. Israel J. Math. 65, 113–132 (1989). https://doi.org/10.1007/BF02764856

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  • DOI: https://doi.org/10.1007/BF02764856

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