Search Constraints

Start Over
Filtering by: Creator Schmidt, Mariek E. Remove constraint Creator: Schmidt, Mariek E. Resource Type Dissertation Remove constraint Resource Type: Dissertation

Search Results

  • Deep crustal and mantle inputs to North Sister Volcano, Oregon High Cascade Range

    Creator:
    Schmidt, Mariek E.
    Abstract:
    The Central Oregon High Cascade Range is an anomalously mafic segment of the Cascade Arc due to ongoing intra-arc extension, which allows most magmas to traverse the crust without stalling and evolving to more evolved compositions. North Sister, a composite volcano in this arc segment, has produced a seemingly monotonous...
    Resource Type:
    Dissertation

  • Continued fractions and the divisor at infinity on a hyperelliptic curve : examples and order bounds

    Creator:
    Daowsud, Katthaleeya
    Abstract:
    We use the theory of continued fractions over function fields in the setting of hyperelliptic curves of equation y²=f(x), with deg(f)=2g+2. By introducing a new sequence of polynomials defined in terms of the partial quotients of the continued fraction expansion of y, we are able to bound the sum of...
    Resource Type:
    Dissertation
    Full Text:
    : Thomas A. Schmidt We use the theory of continued fractions over function fields in the setting of hyper

  • 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:
    Homeomorphisms with Vanishing Sah-Arnoux-Fathi Invariant. Abstract approved: Thomas A. Schmidt Translation

  • Algebraic Pappus Curves

    Creator:
    Hatase, Tatsuhiko
    Abstract:
    We show that Pappus Curves, introduced by R. Schwartz to study his dynamical system in the real projective plane generated by iterated applications of the classical Pappus Theorem, are algebraic exactly in the linear case. Our approach is to use properties of projective curves such as singular points, genus, number...
    Resource Type:
    Dissertation
    Full Text:
    Curves Abstract approved: Thomas A. Schmidt We show that Pappus Curves, introduced by R. Schwartz to

  • Triangular billiards surfaces and translation covers

    Creator:
    Schmurr, Jason Peter
    Abstract:
    We identify all translation covers among triangular billiards surfaces. Our main tools are the J-invariant of Kenyon and Smillie and a property of triangular billiards surfaces, which we call fingerprint type, that is invariant under balanced translation covers.
    Resource Type:
    Dissertation
    Full Text:
    enduring patien e throughout the entire pro ess. TABLE OF CONTENTS Page1 INTRODUCTION

  • Explicit Dynamical Systems on the Sierpiński Curve

    Creator:
    Homsomboon, Worapan
    Resource Type:
    Dissertation
    Full Text:
    : Explicit Dynamical Systems on the Sierpiński Curve Abstract approved: Thomas A. Schmidt The Sierpiński

  • A New Algorithm for Computing the Veech Group of a Translation Surface

    Creator:
    Edwards, Brandon
    Abstract:
    We give a new characterization of elements in the Veech group of a translation surface. This provides a computational test for Veech group membership. We use this computational test in an algorithm that detects when the Veech group is a lattice (has co-finite area), and in this case computes a...
    Resource Type:
    Dissertation
    Full Text:
    the Veech Group of a Translation Surface Abstract approved: Thomas A. Schmidt We give a new

  • One-Parameter Deformations of the Bowen-Series Map Associated to Cocompact Triangle Groups

    Creator:
    Yiltekin-Karatas, Ayse
    Abstract:
    In 1979, for each signature for Fuchsian groups of the first kind, Bowen and Series constructed an explicit fundamental domain for one group of the signature, and from this a function on the unit circle tightly associated with this group. In general, their fundamental domain enjoys what has since been...
    Resource Type:
    Dissertation
    Full Text:
    approved: Thomas A. Schmidt In 1979, for each signature for Fuchsian groups of the first kind, Bowen and

  • Spectral modular arithmetic

    Creator:
    Saldamli, Gökay
    Abstract:
    In many areas of engineering and applied mathematics, spectral methods provide very powerful tools for solving and analyzing problems. For instance, large to extremely large sizes of numbers can efficiently be multiplied by using discrete Fourier transform and convolution property. Such computations are needed when computing π to millions of...
    Resource Type:
    Dissertation
    Full Text:
    c = me mod n where c, m, e, n are large integers. Therefore following the spectral modular

  • Interrelationships of Meloidogyne hapla Chitwood, 1949 with Heterodera schachtii Schmidt, 1871 on Beta vulgaris L.

    Creator:
    Jatala, Parviz
    Abstract:
    Self-interactions (effects of reinoculation with the same nematode) in Meloidogyne hapla and Heterodera schachtii on Beta vulpris at different levels of inocula with various population combinations were studied. In M. hapla, the only significant increase of galls was noted in treatments when 250+250 larvae were inoculated at 10-day intervals. Longevity...
    Resource Type:
    Dissertation
    Full Text:
    : INTERRELATIONSHIPS OF MELOIDOGYNE HAPLA CHITWOOD, 1949 WITH HETERODERA SCHACHTII SCHMIDT, 1871 ON BETA VULGARIS L