Now showing items 104-112 of 112

    • A three-dimensional Brownian path reflected on a Brownian path is a free Brownian path 

      Burdzy, Krzysztof (Springer Science+Business Media B.V., 1993)
      Three-dimensional Brownian path reflected on Brownian path is a free Brownian path.
    • Topics in Topology and Homotopy Theory 

      Warner, Garth (Hopf Topology Archive, 2005-01)
      This book is addressed to those readers who have been through Rotman (or its equivalent), possess a wellthumbed copy of Spanier, and have a good background in algebra and general topology. Granted these prerequisites, ...
    • Traps for Reflected Brownian Motion 

      Burdzy, Krzysztof; Chen, Zhen-Qing; Marshall, Donald E. (Springer-Verlag GmbH, 2005-08-16)
      Consider an open set D [is an element of the set] R [The set of Real Numbers] [superscript]d, d [is greater than or equal to] 2, and a closed ball B [is a proper subset of] D. Let E[superscript]xT[subscript]B denote the ...
    • Uniqueness for reflecting Brownian motion in lip domains 

      Burdzy, Krzysztof; Bass, Richard F.; Chen, Zhen-Qing (Elsevier, 2005-03)
      A lip domain is a Lipschitz domain where the Lipschitz constant is strictly less than one. We prove strong existence and pathwise uniqueness for the solution X = {X [subscript] t, t [is less than or equal to] 0} to the ...
    • Unsolved Problems in Intuitive Geometry 

      Klee, Victor (1960)
    • Variably skewed Brownian motion 

      Burdzy, Krzysztof; Barlow, Martin T.; Kaspi, Haya; Mandelbaum, Avi (Institute of Mathematical Statistics, 2000-03-01)
      Given a standard Brownian motion B, we show that the equation X [subscript] t = x [subscript] 0 + B [subscript] t + [beta](L [to the power of X] [subscript] t ); t [is greater than or equal to] 0 ; has a unique strong ...
    • 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 ...
    • Weak convergence of reflecting Brownian motions 

      Burdzy, Krzysztof; Chen, Zhen-Qing (Institute of Mathematical Statistics, 1998-05-23)
      We will show that if a sequence of domains D [subscript] k increases to a domain D then the reflected Brownian motions in D [subscript] k's converge to the reflected Brownian motion in D, under mild technical assumptions. ...
    • What symmetry groups are present in the Alhambra? 

      Grünbaum, Branko (American Mathematical Society, 2006)
      The question which of the seventeen wallpaper groups are represented in the fabled ornamentation of the Alhambra has been raised and discussed quite often, with widely diverging answers. Some of the arguments from these ...