Rubber Bands , Pursuit Games and Shy Couplings

  title={Rubber Bands , Pursuit Games and Shy Couplings},
  author={Maury Bramson and Krzysztof Burdzy and Wilfrid S. Kendall},
In this paper, we consider pursuit-evasion and probabilistic consequences of some geometric notions for bounded and suitably regular domains in Euclidean space that are CAT(κ) for some κ > 0. These geometric notions are useful for analyzing the related problems of (a) existence/nonexistence of successful evasion strategies for the Man in Lion and Man problems, and (b) existence/nonexistence of shy couplings for reflected Brownian motions. They involve properties of rubber bands and the extent… CONTINUE READING


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