ResearchWorks Archive

Browsing EPrint Collection - Mathematics by Title

Browsing EPrint Collection - Mathematics by Title

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  • Grünbaum, Branko (1997)
  • Grünbaum, Branko (1974)
  • Grünbaum, Branko (2010)
  • Burdzy, Krzysztof; Kaspi, Haya (Institute of Mathematical Statistics, 2004-10)
    We consider a stochastic flow in which individual particles follow skew Brownian motions, with each one of these processes driven by the same Brownian motion. One does not have uniqueness for the solutions of the corresponding ...
  • 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.
  • Burdzy, Krzysztof; Bass, Richard F. (Springer-Verlag GmbH, 1992)
    We investigate when an upper bound on expected lifetimes of conditioned diffusions associated with elliptic operators in divergence and non-divergence form can be found. The critical value of the parameter is found for ...
  • Burdzy, Krzysztof; Chen, Zhen-Qing (Institute of Mathematical Statistics, 2001-10)
    We define a local time flow of skew Brownian motions, i.e., a family of solutions to the stochastic differential equation defining the skew Brownian motion, starting from different points but driven by the same Brownian ...
  • 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) = ...
  • Burdzy, Krzysztof (American Mathematical Society, 2002-05)
    The system for publishing mathematical articles should be reformed and the new system should resemble, on the economic side, the bottled water industry. My main theses are: (i) the results of the mathematical research ...
  • Warner, Garth (2006-09-08)
    These notes can serve as a mathematical supplement to the standard graduate level texts on general relativity and are suitable for self-study. The exposition is detailed and includes accounts of several topics of current ...
  • Burdzy, Krzysztof; Holyst, Robert (American Physical Society, 2001-06-26)
    We investigate the number N of molecules needed to perform independent diffusions in order to achieve bonding of a single molecule to a specific site in time t [subscript] 0. For a certain range of values of t [subscript] ...
  • Burdzy, Krzysztof (Nagoya University, 1990-09)
    Let f be an analytic function defined on D [is a subset of] [complex numbers] C. If [the derivative of the function f at the point x] has a limit when [the set] x [into the set] z [is an element of the set partial derivative] ...
  • Burdzy, Krzysztof (Mathematical Society of Japan, 2004)
    This is a review of research on geometric properties of Neumann eigenfunctions related to the "hot spots" conjecture of Jeff Rauch. The paper also presents, in an informal way, some probabilistic techniques used in the proofs.
  • Burdzy, Krzysztof; Werner, Wendelin (Institute of Mathematical Statistics, 1996-01)
    We show that the boundary of a connected component of the complement of a planar Brownian path on a fixed time-interval contains almost surely no triple point of this Brownian path.
  • Burdzy, Krzysztof; Lawler, Gregory F. (Springer-Verlag GmbH, 1990)
    Let X and Y be independent three-dimensional Brownian motions, X(0) = (0; 0; 0), Y (0) = (1; 0; 0) and let p [subscript]r = P(X[0; r] [intersected with] Y [0; r] = [empty set]. Then the "non- intersection exponent" [from] ...
  • Burdzy, Krzysztof; Lawler, Gregory F. (Institute of Mathematical Statistics, 1990-07)
    Let X and Y be independent two-dimensional Brownian motions, X(0) = (0; 0); Y(0) = ([epsilon]; 0), and let p([epsilon]) = P(X[0; 1] [intersected with] Y [0; 1] = [empty set], q([epsilon]) = {Y [0; 1] does not contain a ...
  • Burdzy, Krzysztof; Marshall, Donald E. (Elsevier, 1993)
    Our main results are (i) a new construction of reflected Brownian motion X in a half-plane with non-smooth angle of oblique reflection and (ii) a theorem on existence of some "exceptional" points on the paths of the ...
  • Grünbaum, Branko (2005)
    Every finite family of (straight) lines in the projective plane, not forming a pencil, is well know to have at least one "ordinary point" –– that is, a point common to precisely two of the lines. A line of a family is ...
  • Burdzy, Krzysztof; Toby, Ellen H.; Williams, Ruth J. (Birkhäuser Boston, Inc., 1989)
    In this paper, we continue the study initiated in Burdzy and Williams (1986) of the local properties of Brownian excursions in Lipschitz domains. The focus in part I was on local path properties of such excursions. In ...
  • Burdzy, Krzysztof; Bass, Richard F. (Academic Press (Elsevier), 1993-08-15)
    Some examples are given of convex domains for which domain monotonicity of the Neumann heat kernel does not hold.

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