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Capture of the Lamb: Diffusing Predators Seeking a Diffusing Prey

Authors
  • Redner, S.
  • Krapivsky, P. L.
Type
Published Article
Publication Date
May 20, 1999
Submission Date
May 20, 1999
Identifiers
DOI: 10.1119/1.19115
arXiv ID: cond-mat/9905299
Source
arXiv
License
Unknown
External links

Abstract

We study the capture of a diffusing "lamb" by diffusing "lions" in one dimension. The capture dynamics is exactly soluble by probabilistic techniques when the number of lions is very small, and is tractable by extreme statistics considerations when the number of lions is very large. However, the exact solution for the general case of three or more lions is still not known.

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