Index Catalog // ScholarsArchive@OSU

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

Vitamin E and the alpha-tocopherol transfer protein during zebrafish embryogenesis

Creator:: Miller, Galen W.
Abstract:: Vitamin E was first described in 1922 as an unknown factor required for impregnated rats to carry their offspring to term. In fact, when vitamin E was chemically characterized it was given the name "tocopherol" derived from the Greek: tokos = childbirth; phero = to bear; and –ol, indicating an...
Resource Type:: Dissertation
Full Text:: May 4, 2012. Title: Vitamin E and the α-Tocopherol Transfer Protein During Zebrafish Embryogenesis

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

Vitamin E and K interactions : investigating mechanisms of reduced vitamin K status in response to excess vitamin E

Creator:: Farley, Sherry Mae
Abstract:: The primary goal of my studies was to elucidate the mechanisms for the well-recognized interaction between two nutrients, vitamins E and K. The outcomes from my studies assess mechanisms for adverse effects of vitamin E and provide novel information on mechanisms for vitamin K homeostasis. These findings will provide information...
Resource Type:: Dissertation
Full Text:: November 12, 2012. Title: Vitamin E and K Interactions: Investigating Mechanisms of Reduced Vitamin K

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

ScholarsArchive@OSU

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

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

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

Vitamin E and the alpha-tocopherol transfer protein during zebrafish embryogenesis

Algebraic Pappus Curves

Vitamin E and K interactions : investigating mechanisms of reduced vitamin K status in response to excess vitamin E

Triangular billiards surfaces and translation covers

Explicit Dynamical Systems on the Sierpiński Curve

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

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

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