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Saima Parveen

  1. Fundamental Group of Desargues Configuration Spaces.

    Thu, 02/10/2011 - 16:01 — SomNambul
    Authors: Saima Parveen, Barbu Berceanu
    Subjects: Geometric Topology
    Abstract

    We compute the fundamental group of various spaces of Desargues
    configurations in complex projective spaces: planar and non-planar
    configurations, with a fixed center and also with an arbitrary center.

  2. Braid groups in complex projective spaces.

    Fri, 02/12/2010 - 16:01 — SomNambul
    Authors: Saima Parveen, Barbu Berceanu
    Subjects: Geometric Topology
    Abstract

    We describe the fundamental groups of ordered and unordered k point sets in
    complex projective space of dimension n generating a projective subspace of
    dimension i. We apply these to study connectivity of more complicated
    configurations of points.

  3. Hamilton-Jacobi equations with jumps: asymptotic stability.

    Tue, 09/08/2009 - 12:16 — SomNambul
    Authors: Amir Mahmood, Saima Parveen
    Subjects: Mathematical Physics
    Abstract

    The asymptotic stability of a global solution satisfying Hamilton-Jacobi
    equations with jumps will be analyzed in dependence on the strong dissipativity
    of the jump control function and using orbits of the differentiable flows to
    describe the corresponding characteristic system.

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