Index Catalog // ScholarsArchive@OSU

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

Development and Characterization of Multiple Nanopore Systems for Molecular Sensing

Creator:: Schmeckpeper, Tyler T.
Abstract:: Artificial lipid bilayer technologies are effective models for studying cell membrane properties. Droplet bilayers rely on microfluidics and provide advantages over other bilayer methods due to their compatibility with automated development systems that increase yield while minimizing cost. This paper describes the implementation of bilayer technologies using membrane protein channels...
Resource Type:: Honors College Thesis
Full Text:: . 2002. [8] W. Knoll, C. W. Frank, C. Heibel, R. Naumann, A. Offenhausser, J. Ruhe, E. K. Schmidt, W

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:: translation overs among triangular billiards surfa es. Our main toolsare the J-invariant of Kenyon and

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

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

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

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

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

The quantitative recovery of plutonium from laboratory residues

Creator:: Ferguson, William Sidney
Resource Type:: Masters Thesis
Full Text:: , Schmidt of the Nucleonics Division oÍ' the General lectric Company. Mr,, Sheerd and Dr. Schnddt have

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

ScholarsArchive@OSU

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

Development and Characterization of Multiple Nanopore Systems for Molecular Sensing

Triangular billiards surfaces and translation covers

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

Explicit Dynamical Systems on the Sierpiński Curve

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

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

Algebraic Pappus Curves

The quantitative recovery of plutonium from laboratory residues

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

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