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Filtering by: Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics Committee Member Dascaliuc, Radu Remove constraint Committee Member: Dascaliuc, Radu

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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
Characterization of binary trees

Creator:

Brandstetter, Griffin

Abstract:

In "Level Number Sequences for Trees" Flagotet and Prodinger investigate the problem of counting the number of level number sequences associated to binary trees of $n$ binary nodes. I convert this problem into terms of exterior nodes or "leaves" and leaf number sequences. "Polynomial representation" is then defined to address...

Resource Type:

Honors College Thesis
On Invariant Galton-Watson Trees with Exponential Edge Lengths

Creator:

Xu, Guochen

Resource Type:

Dissertation
Proving Limit Theorems for Associated Random Variables via Stein's Method

Creator:

Jantai, Wasamon

Abstract:

Stein's method initially introduced in 1970 by C. Stein is a powerful technique for bounding the distance between the laws of two real-valued random variables. Stein's method has been used to prove distributional convergence to many standard probability distributions such as normal, multivariate normal, Poisson and Brownian motion approximation. In...

Resource Type:

Dissertation
Aggregate Path Coupling for the Generalized Curie-Weiss Model

Creator:

Barbosa, Bruno

Abstract:

The topic of statistical mechanics has been studied for over a century, and it is one of the pillars of modern physics. This theory can be applied to the study of the thermodynamic behavior of large systems of interacting particles, in which case it is referred to as equilibrium statistical...

Resource Type:

Dissertation
Stability Analysis of Coupled Discrete Time Systems On an Invariant Cone

Creator:

Fletcher, Sally

Abstract:

This paper concerns a question that frequently occurs in various applications: Is any dispersal coupling of stable discrete linear systems, also stable? Although it has been known this is not the case, we shall identify a reasonably diverse class of systems for which it is true. We shall employ the...

Resource Type:

Masters Thesis
Fourier Analysis and Equidistribution on the p-adic Integers

Creator:

Somasunderam, Naveen

Abstract:

In this dissertation, we use Fourier-analytic methods to study questions of equidistribution on the compact abelian group Zp of p-adic integers. In particu- lar, we prove a LeVeque-type Fourier analytic upper bound on the discrepancy of sequences. We establish p-adic analogues of the classical Dirichlet and Fejér kernels on R/Z,...

Resource Type:

Dissertation
Mixing Times for Diffusive Lattice-Based Markov Chains

Creator:

Titus, Mathew W.

Abstract:

Markov chains have long been used to sample from probability distributions and simulate dynamical systems. In both cases we would like to know how long it takes for the chain's distribution to converge to within varepsilon of the stationary distribution in total variation distance; the answer to this is, called...

Resource Type:

Dissertation
Persistence of Populations in Environments with an Interface

Creator:

Rekow, James A.

Abstract:

We model a fish population in a spatial region comprising a marine protected area and a fishing ground separated by an interface. The model assumes conservation of biomass density and takes the form of a reaction diffusion equation with a logistic reaction term. At the interface, in addition to continuity...

Resource Type:

Masters Thesis

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Academic Affiliation

Mathematics[remove]12

Advisor

Kovchegov, Yevgeniy4
Petsche, Clayton J.2
Thomann, Enrique A.2
de Leenheer, Patrick1
Deleenheer, Patrick1
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Commencement Year

Commencement Year range begin – Commencement Year range end

Current results range from 2012 to 2023

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Committee Member

Dascaliuc, Radu[remove]12
Thomann, Enrique3
Schmidt, Thomas A.2
Thomann, Enrique A.2
Waymire, Edward C.2
more Committee Members »

Creator

Barbosa, Bruno1
Brandstetter, Griffin1
Duran, Rodrigo1
Fletcher, Sally1
Jantai, Wasamon1
more Creators »

Contributor

Otto, Peter T.1
Thomann, Enrique A.1

Date

Date range begin – Date range end

Current results range from 2012 to 2023

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Decade

2020-20296
2010-20196

Degree Field

Mathematics12

Degree Level

Doctoral7
Master's4
Bachelor's1

Degree Name

Doctor of Philosophy (Ph.D.)7
Master of Science (M.S.)4
Honors Bachelor of Science (H.B.S.)1

Language

English [eng]12

License

All rights reserved9

Non-Academic Affiliation

Oregon State University. Graduate School3
Oregon State University. Honors College1

Peer Reviewed

No12

Resource Type

Dissertation7
Masters Thesis3
Capstone Project1
Honors College Thesis1

Rights Statement

In Copyright12

Subject

Cascades (Fluid dynamics)1
Fish populations -- Mathematical models1
Fishing1
Fourier analysis1
Marine parks and reserves1
more Subjects »

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