Now showing items 1-3 of 3

    • Labyrinth dimension of Brownian trace 

      Burdzy, Krzysztof (Institute of Mathematics, 1995)
      Suppose that X is a two-dimensional Brownian motion. The trace X[0, 1] contains a self-avoiding continuous path whose Hausdorff dimension is equal to 2.
    • The level sets of iterated Brownian motion 

      Burdzy, Krzysztof; Khoshnevisan, Davar (Springer-Verlag, 1995)
      We show that the Hausdorff dimension of every level set of iterated Brownian motion is equal to 3/4.
    • Percolation dimension of fractals 

      Burdzy, Krzysztof (Academic Press (Elsevier), 1990-01)
      "Percolation dimension" is introduced in this note. It characterizes certain fractals and its definition is based on the Hausdorff dimension. It is shown that percolation dimension and "boundary dimension" are in a sense ...