Capture of the Lamb: Diffusing Predators Seeking a Diffusing Prey

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.

11 pages, 6 figures, Invited paper for American Journal of Physics

References in corpus (1)

• Anisotropic critical phenomena in parabolic geometries: the directed self-avoiding walk

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