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Browsing Technical Reports (Mathematics) by Title

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Browsing Technical Reports (Mathematics) by Title

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  • Bokil, Vrushali A.; Gibson, Nathan L. (2010-01-05)
    We study the stability properties of, and the phase error present in, several higher order (in space) staggered finite difference schemes for Maxwell's equations coupled with a Debye or Lorentz polarization model. ...
  • Kovchegov, Yevgeniy; Yildiz, Nese (2012-01-06)
    We solve a class of identification problems for nonparametric and semiparametric models when the endogenous covariate is discrete with unbounded support. Then we proceed with an approach that resolves a polynomial basis ...
  • Burton Jr, Robert M.; Kovchegov, Yevgeniy (2011-07-13)
    For the probabilistic model of shuffling by random transpositions we provide a coupling construction with the expected coupling time of order C*n*log(n), where C is a moderate constant. We enlarge the methodology of co ...
  • Dimcovic, Zlatko; Kovchegov, Yevgeniy (2010-04-26)
    We construct a quantum interchange walk, related to classical walks with memory. This gives us a coinless discrete walk, while the origin in classical walks with memory offers the promise of use of existing tools from cl ...
  • Burton Jr, Robert M.; Kovchegov, Yevgeniy; Nguyen, Thinh (2010-04-26)
    In recent years quantum random walks have garnered much interest among quantum information researchers. Part of the reason is the prospect that many hard problems can be solved efficiently by employing algorithms based ...
  • Kovchegov, Yevgeniy (2010-04-26)
    We use a combinatorial approach to study the trajectory of a light ray constrained to Euclidian plane R^2 with random reflecting obstacles placed throughout R^2. For the 2D Lorentz lattice gas (LLG) model we derive an an ...
  • Bokil, Vrushali; Leung, Aubrey (2011-09-08)
    In this report we consider the Debye model along with Maxwell's equations (Maxwell- Debye) to model electromagnetic wave propagation in dispersive media that exhibit orientational polarization. We construct and analyze ...

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