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    • 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 ...