ResearchWorks Archive

Browsing EPrint Collection - Mathematics by Title

Browsing EPrint Collection - Mathematics by Title

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  • Burdzy, Krzysztof; White, David (Institute of Mathematical Statistics, 2004-10-06)
    We present a stochastic process with sawtooth paths whose distribution is given by a simple rule and whose stationary distribution is Gaussian. The process arose in a natural way in research on interaction of an inert ...
  • Burdzy, Krzysztof (Springer-Verlag GmbH, 1989)
    Let A be the set of all points of the plane C, visited by two-dimensional Brownian motion before time 1. With probability 1, all points of A are "twist points" except a set of harmonic measure zero. "Twist points" may be ...
  • Grünbaum, Branko (2005)
    Relations between graph theory and polyhedra are presented in two contexts. In the first, the symbiotic dependence between 3-connected planar graphs and convex polyhedra is described in detail. In the second, a theory of ...
  • Burdzy, Krzysztof; Chen, Zhen-Qing; Sylvester, John (Institute of Mathematical Statistics, 2004-01)
    The paper is concerned with reflecting Brownian motion (RBM) in domains with deterministic moving boundaries, also known as "non-cylindrical domains," and its connections with partial differential equations. Construction ...
  • Burdzy, Krzysztof; Chen, Zhen-Qing; Sylvester, John (Academic Press (Elsevier), 2004-10)
    The paper studies, among other things, two types of possible singularities of the solution to the heat equation at the boundary of a moving domain. Several explicit results on "heat atoms" and "heat singularities" are given.
  • Burdzy, Krzysztof; Marshall, Donald E. (Springer-Verlag, 1992)
    An explicit integral test involving the reflection angle is given for the reflected Brownian motion in a half-plane to hit a fixed boundary point.
  • Warner, Garth (2012-05)
    The purpose of this book is two-fold: (1) To give a systematic introduction to topos theory from a purely categorical point of view, thus ignoring all logical and algebraic issues. (2) To give an account of the homotopy ...
  • Burdzy, Krzysztof (Duke University Press, 2005)
    There exists a planar domain with piecewise smooth boundary and one hole such that the second eigenfunction for the Laplacian with Neumann boundary conditions attains its maximum and minimum inside the domain.
  • Banuelos, Rodrigo; Bass, Richard F.; Burdzy, Krzysztof (Duke University Press, 1991-10)
    A version of the boundary Harnack principle is proven.
  • Burdzy, Krzysztof; Bass, Richard F.; Khoshnevisan, Davar (Institute of Mathematical Statistics, 1994-04)
    For each a [is an element of the set] (0, 1/2), there exists a random measure [beta] [subscript] a which is supported on the set of points where two-dimensional Brownian motion spends a units of local time. The measure ...
  • Grünbaum, Branko (Springer New York, 1997)
    A prismatoid is a polyhedron with all vertices in two parallel planes. A polyhedron P is isogonal if all its vertices form one transitivity class under isometric symmetries of P. Although these restrictions appear very ...
  • Burdzy, Krzysztof; San Martin, Jaime (Institute of Mathematical Statistics, 1995-10)
    Suppose [epsilon] [is a member of the set] [0, 1) and let theta [subscipt epsilon] (t) = (1 − [epsilon]) [square root of] (2tln [subscript] 2 t). Let L [to the power of epsilon] [subscript] t denote the amount of local ...
  • Burdzy, Krzysztof; Madrecki, Andrzej (Institute of Mathematical Statistics, 1996-02)
    An Ito-type formula is given for an asymptotically 4-stable process.
  • Burdzy, Krzysztof (Institute of Mathematics, 1995)
    Suppose that X is a two-dimensional Brownian motion. The trace X[0, 1] contains a self-avoiding continuous path whose Hausdorff dimension is equal to 2.
  • Warner, Garth (2009-01-12)
    My original set of lectures on Mechanics was divided into three parts: Lagrangian Mechanics, Hamiltonian Mechanics, Equivariant Mechanics. The present text is an order of magnitude expansion of the first part and is ...
  • 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.

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