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Capture Problems For Coupled Random Walks

  • Maury Bramson
  • David Griffeath
Chapter
Part of the Progress in Probability book series (PRPR, volume 28)

Abstract

N predator random walks X k (t) stalk a prey random walk Y(t). By conspiring among themselves and observing their prey, the predators try to minimize the capture time T:
$$T = \min \{ t:{X_k}(t) = Y(t)\,{\text{for}}\,{\text{some}}\,k\}.$$

Keywords

Markov Chain Brownian Motion Random Walk Exit Time Efficient Capture 
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

  • Maury Bramson
    • 1
  • David Griffeath
    • 1
  1. 1.Department of MathematicsUniversity of WisconsinMadisonUSA

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