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Filtering by: Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics Degree Name Doctor of Philosophy (Ph.D.) Remove constraint Degree Name: Doctor of Philosophy (Ph.D.)

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Characterizing and Understanding Semiotic Representations in Combinatorics Problems

Creator:

De Chenne, Adaline E.

Abstract:

Combinatorics is a field of mathematics that concerns enumeration and existence, and its most notable applications are in computer science and statistics. Most students are introduced to combinatorics through counting problems, where they are tasked with determining the cardinality of a set of outcomes. Such problems are well-known for being...

Resource Type:

Dissertation
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
Arithmetic dynamical questions with local rationality conditions

Creator:

Noytaptim, Chatchai

Abstract:

We introduce a numerical criterion which allows us to bound the degree of any algebraic integer having all of Galois conjugates in an interval of length less than 4. Using this criterion, we study two arithmetic dynamical questions with local rationality conditions. First, we classify all unicritical polynomials defined over...

Resource Type:

Dissertation
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
On the Remaining Cases of the Kang Park Conjecture in Partition Theory

Creator:

Sturman, Leah

Abstract:

In 1956, Alder conjectured an integer partition inequality which generalized Euler’s partition identity, the first Rogers-Ramanujan identity, and a partition identity of Schur. Alder’s conjecture, proved in part by Andrews in 1971, followed by Yee in 2008, and finally completed by Alfes, Jameson, and Lemke Oliver in 2010 states that...

Resource Type:

Dissertation
On Invariant Galton-Watson Trees with Exponential Edge Lengths

Creator:

Xu, Guochen

Resource Type:

Dissertation
Zeros of Replicable Functions

Creator:

Toomey, Benjamin J.

Abstract:

Following the work of Asai, Kaneko, and Ninomiya for Faber polynomials associated to the modular group, and Bannai, Kojima, and Miezaki's partial proof for the case of the Fricke group of level 2, we show that the zeros of certain modular functions for some low-level genus zero groups associated to...

Resource Type:

Dissertation
Explicit Dynamical Systems on the Sierpiński Curve

Creator:

Homsomboon, Worapan

Resource Type:

Dissertation
The Biot System with Unilateral Displacement Constraints

Creator:

Hosseinkhan, Alireza

Abstract:

A fully-saturated poroelastic medium is confined by the sides of a cylinder, and the regions below and above the medium are filled with fluid at respective constant pressures. The filtration flow of fluid through the poroelastic medium and the small deformations of the medium are described by a quasi-static Biot...

Resource Type:

Dissertation
Existence of Eta-Quotients for Squarefree Levels and Modular Type Supercongruences for Hypergeometric Functions

Creator:

Allen, Michael

Abstract:

In this dissertation, we consider two problems in number theory, both relating to modular forms. First we consider when a given modular form can be expressed as a quotient in Dedekind's $\eta$ function. Rouse and Webb \cite{RW} have determined the integers $N \leq 500$ such that the graded ring of...

Resource Type:

Dissertation

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Academic Affiliation

Mathematics[remove]298

Advisor

Guenther, Ronald B.13
Bogley, William A.10
Burton, Robert M., jr.10
Lonseth, A. T.10
Narasimhan, M. N. L.8
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Commencement Year

Commencement Year range begin – Commencement Year range end

Current results range from 1948 to 2024

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Committee Member

Guo, Ren11
Petsche, Clayton11
Garity, Dennis10
Faridani, Adel9
Finch, David9
more Committee Members »

Creator

Aalto, Sergei Kalvin1
Agnew, Alfonso F.1
Akerman, Michael Walter1
Al Ayat, Rokaya Abdel Ghani1
Al Hammali, Hussain Y.1
more Creators »

Contributor

Bokil, Vrushali1
Dascaliuc, Radu1
Gibson, Nathan L.1
Otto, Peter T.1
Swisher, Holly1
more Contributors »

Date

Date range begin – Date range end

Current results range from 1948 to 2023

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Decade

2020-202923
2010-201957
2000-200932
1990-199932
1980-198921
1970-197957
1960-196961
1950-195913
1940-19492

Degree Field

Mathematics295
Applied Mathematics1
Mathematics (Computer Science)1
Physics1

Degree Level

Doctoral298

Degree Name

Doctor of Philosophy (Ph.D.)[remove]298

File Format

application/pdf7
pdf1

Language

English [eng]298

License

All rights reserved100

Non-Academic Affiliation

Oregon State University. Graduate School259

Peer Reviewed

No199

Resource Type

Dissertation298

Rights Statement

Copyright Not Evaluated191
In Copyright107

Subject

Integral equations9
Differential equations7
Matrices7
Number theory7
Probabilities6
more Subjects »

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