Now showing items 1-4 of 4

    • Brownian motion in a Brownian crack 

      Burdzy, Krzysztof; Khoshnevisan, Davar (Institute of Mathematical Statistics, 1998-08)
      Let D be the Wiener sausage of width [epsilon] around two-sided Brownian motion. The components of two-dimensional reflected Brownian motion in D converge to one-dimensional Brownian motion and iterated Brownian motion, ...
    • 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.
    • Some path properties of iterated Brownian motion 

      Burdzy, Krzysztof (Birkhauser Boston, Inc., 1993)
      The present paper is devoted to studying path properties of iterated Brownian motion (IBM). We want to examine how the lack of independence of increments influences the results and estimates which are well understood in ...
    • Variation of iterated Brownian motion 

      Burdzy, Krzysztof (American Mathematical Society, 1994)
      In this paper, we study higher order variations of iterated Brownian motion (IBM) with view towards possible applications to the construction of the stochastic integral with respect to IBM. We prove that the 4-th variation ...