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    • 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 ...
    • Fiber Brownian motion and the "hot spots" problem 

      Burdzy, Krzysztof; Bass, Richard F. (Duke University Press, 2000-10)
      We show that in some planar domains both extrema of the second Neumann eigenfunction lie strictly inside the domain. The main technical innovation is the use of "fiber Brownian motion," a process which switches between ...