Now showing items 1-2 of 2

    • Cut points on Brownian paths 

      Burdzy, Krzysztof (Institute of Mathematical Statistics, 1989-07)
      Let X be a standard two-dimensional Brownian motion. There exists a.s. t [is an element of the set] (0; 1) such that X([0; t))[intersected with] X((t; 1]) = [empty set]. It follows that X([0; 1]) is not homeomorphic to ...
    • Cutting Brownian Paths 

      Burdzy, Krzysztof; Bass, Richard F. (American Mathematical Society, 1999-01)
      Let Z [subscript] t be two-dimensional Brownian motion. We say that a straight line L is a cut line if there exists a time t [is an element of the set] (0, 1) such that the trace of {Z [subscript] s : 0 [is less than or ...