Now showing items 1-3 of 3

    • The Martin boundary in non-Lipschitz domains 

      Burdzy, Krzysztof; Bass, Richard F. (American Mathematical Society, 1993)
      The Martin boundary with respect to the Laplacian and with respect to uniformly elliptic operators in divergence form can be identified with the Euclidean boundary in C [to the power of gamma] domains, where [gamma](x) = ...
    • On minimal parabolic functions and time-homogenous parabolic h-transforms 

      Burdzy, Krzysztof; Salisbury, Thomas S. (American Mathematical Society, 1999-03-29)
      Does a minimal harmonic function h remain minimal when it is viewed as a parabolic function? The question is answered for a class of long thin semi-infinite tubes D [is an element of the subset of real numbers to the power ...
    • A probabilistic proof of the boundary Harnack principle 

      Burdzy, Krzysztof; Bass, Richard F. (Birkhauser Boston, Inc., 1990)
      The main purpose of this paper is to give a probabilistic proof of Theorem 1.1, one using elementary properties of Brownian motion. We also obtain the fact that the Martin boundary equals the Euclidean boundary as an easy ...