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Filtering by: Creator Kirinicich, A. R. Remove constraint Creator: Kirinicich, A. R. Committee Member Nguyen, Thinh Remove constraint Committee Member: Nguyen, Thinh Degree Field Mathematics Remove constraint Degree Field: Mathematics

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  • 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:
    v is the map Fv ∶ R ×R2 → R2 given by Fv(t, P ) = P + tv Definition 2.3.4. The linear flow on a

  • 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:
    space of all matrices of this form Mn(R) form a noncommutative ring with identity. A subset of this

  • 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:
    set of (z16)2 − 1 11 2 Collapse of Berkovich Lines. 67 3 The Closed Berkovich Disk D̄(a, r) 73 4

  • 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:
    on R with index H ∈ (0, 1) to be a mean zero real-valued Gaussian process with Cov(BH (s), BH (t

  • 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:
    cohomology ring. This common ring structure motivates the definition of a manifold of type r, where r is the