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Filtering by: Creator Nguyen, Vy T. Remove constraint Creator: Nguyen, Vy T. Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics

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  • Revenue-based spectrum management via Markov decision process

    Creator:
    Zhu, Pingan
    Abstract:
    We consider the problem of wireless spectrum management in cognitive wireless networks that maximizes the revenue for a spectrum operator. Specifically, we study the problem on how a wireless spectrum operator can optimally allocate its limited spectrum to various classes users/devices who pay differently for their spectrum per unit time....
    Resource Type:
    Masters Thesis
    Full Text:
    Markov Decision Process Abstract approved: Thinh P. Nguyen Mina E. Ossiander We consider the

  • Adiabatic and stable adiabatic times

    Creator:
    Bradford, Kyle B.
    Abstract:
    While the stability of time-homogeneous Markov chains have been extensively studied through the concept of mixing times, the stability of time-inhomogeneous Markov chains has not been studied as in depth. In this manuscript we will introduce special types of time-inhomogeneous Markov chains that are defined through an adiabatic transition. After...
    Resource Type:
    Dissertation
    Full Text:
    (t) = (1−φ(t))P0 +φ(t)P1 where φ is a Lipschitz continuous functions that is piecewise defined over

  • New Families of pseudo-Anosov Homeomorphisms with Vanishing Sah-Arnoux-Fathi Invariant

    Creator:
    Do, Hieu Trung
    Abstract:
    Translation surfaces can be viewed as polygons with parallel and equal sides identified. An affine homeomorphism φ from a translation surface to itself is called pseudo-Anosov when its derivative is a constant matrix in SL₂(R) whose trace is larger than 2 in absolute value. In this setting, the eigendirections of...
    Resource Type:
    Dissertation
    Full Text:
    the stable flows, the first return map of the flow induces an interval exchange transformation T

  • On convergence of infinite series of images

    Creator:
    Swartz, William John
    Abstract:
    In introducing the method of electrical images we first consider the elementary problem of finding the electric field of a single point charge and an infinite conducting plane. Then a problem involving a conducting sphere and an exterior point charge is investigated and the results are applied in the solution...
    Resource Type:
    Masters Thesis
    Full Text:
    INFINITE SERIES OF IMAGES Redacted for PrivacyAbstract approved: Arvid T. Lonseth In introducing the

  • Median filters and iterative noise elimination with applications to the sharpening of radiographs

    Creator:
    Bottema, Murk J.
    Abstract:
    See pdf
    Resource Type:
    Dissertation
    Full Text:
    Noise Elimination with Applications to the Sharpening of Radiographs Abstract approved: Kennan T

  • Quantum Random Walk via Classical Random Walk With Internal States

    Creator:
    Burton, Robert M., Jr., Kovchegov, Yevgeniy, and Nguyen, Thinh
    Abstract:
    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 on quantum random walks, in the same way that classical random walks have played a central role...
    Resource Type:
    Technical Report
    Full Text:
    after t time steps? Similarly, in the quantum random walk model, a (quantum) particle will move

  • Representations of fractional Brownian motion

    Creator:
    Wichitsongkram, Noppadon
    Abstract:
    Integral representations provide a useful framework of study and simulation of fractional Browian motion, which has been used in modeling of many natural situations. In this thesis we extend an integral representation of fractional Brownian motion that is supported on a bounded interval of ℝ to integral representation that is...
    Resource Type:
    Dissertation
    Full Text:
    , Professor David Finch, Yevgeniy Kovchegov, Donald Solmon and Thinh Nguyen for their advices and comments

  • An inner product on adelic measures

    Creator:
    Oberly, Peter J.
    Abstract:
    We define an inner product on a vector space of adelic measures over a number field $K$. We find that the norm induced by this inner product governs weak convergence at each place of $K$. The canonical adelic measure associated to a rational map is in this vector space, and...
    Resource Type:
    Dissertation
    Full Text:
    this dissertation. I wish to express sincere appreciation to Radu Dascaliuc, Thinh Nguyen, Thomas A

  • Classifying seven dimensional manifolds of fixed cohomology type

    Creator:
    Montagantirud, Pongdate
    Abstract:
    Finding new examples of compact simply connected spaces admitting a Riemannian metric of positive sectional curvature is a fundamental problem in differential geometry. Likewise, studying topological properties of families of manifolds is very interesting to topologists. The Eschenburg spaces combine both of those interests: they are positively curved Riemannian manifolds...
    Resource Type:
    Dissertation
    Full Text:
    summarized in Chapter 5. Two years later, in 2007 T. Chinburg, C. Escher and W. Ziller [CEZ07] used B

  • A study of symmetric matrices and quadratic forms over fields of characteristic two

    Creator:
    Furcha, John Arthur
    Abstract:
    This thesis has four main results. First we find a reduction form for symmetric matrices over fields of characteristic two. This result parallels the diagonalization theorem for symmetric matrices over fields of characteristic not two. Secondly we reduce our reduction form to a canonical form in perfect fields of characteristic...
    Resource Type:
    Masters Thesis
    Full Text:
    and third results to find the number of m by t matrices X such that X'AX = B, where A and B are