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Random walk question

  1. Nov 20, 2011 #1
    Hello Everyone,

    The following is a subproblem of research project I'm working on, i.e. not a homework. Let's suppose you have a bounded 2d plane and n distinct probes that do random-walk in that plane. The world is closed in a sense that a probe going outside the border ends up being on the opposite side, e.g. a probe going too far east winds up showing up from the west.

    Let's suppose you have a stationary circle of radius R in the plane. How long will it take before each of n probes pass through the circle at least once?


  2. jcsd
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