Modeling Vaccination Strategies To Control White-Nose Syndrome In Little Brown Bat Colonies,
2020
St. Olaf College
Modeling Vaccination Strategies To Control White-Nose Syndrome In Little Brown Bat Colonies, Eva Cornwell, David Elzinga, Shelby R. Stowe, Alex Capaldi
Biology and Medicine Through Mathematics Conference
No abstract provided.
Emergence, Mechanics, And Development: How Behavior And Geometry Underlie Cowrie Seashell Form,
2020
University of California Berkeley
Emergence, Mechanics, And Development: How Behavior And Geometry Underlie Cowrie Seashell Form, Michael G. Levy, Michael R. Deweese
Biology and Medicine Through Mathematics Conference
No abstract provided.
Network Mediation Of Pathology Pattern In Sporadic Creutzfeldt–Jakob Disease,
2020
University of Texas at Arlington
Network Mediation Of Pathology Pattern In Sporadic Creutzfeldt–Jakob Disease, Benjamin Freeze, Pedro Maia, Sneha Pandya, Ashish Raj
Mathematics Faculty Publications - Archive
Sporadic Creutzfeldt–Jakob disease is a rare fatal rapidly progressive dementia caused by the accumulation and spread of pathologically misfolded prions. Evidence from animal models and in vitro experiments suggests that prion pathology propagates along neural connectivity pathways, with the transmission of misfolded prions initiating a corruptive templating process in newly encountered brain regions. Although particular regional patterns of disease have been recognized in humans, the underlying mechanistic basis of these patterns remains poorly understood. Here, we demonstrate that the spatial pattern of disease derived from publicly available human diffusion-weighted MRI data demonstrates stereotypical features across patient cohorts and can be …
Dynamic Portfolio Optimization With A Noisy Observation Of The Hidden Economic Regime,
2020
Washington University in St. Louis
Dynamic Portfolio Optimization With A Noisy Observation Of The Hidden Economic Regime, Siqi Peng
Arts & Sciences Graduate Student Theses and Dissertations
In this thesis, we aim to maximize the expected utility of a risk-averse investor by allocating her wealth in a risk-free bank account, a stock, and a defaultable security. The securities' rates of return depend on a hidden continuous-time finite-state Markov chain representing the economic regime. The securities' price volatilities are determined by an observable process, which can be considered as a noisy observation of the hidden economic regime. We use a two dimensional Markov chain, with a special construction of its generator matrix, to model the joint dynamics of the hidden process and the observable process. Our model is …
A Different Approach To Endpoint Weak-Type Estimates For Calder̟N-Zygmund Operators,
2020
Washington University in St. Louis
A Different Approach To Endpoint Weak-Type Estimates For Calder̟N-Zygmund Operators, Cody B. Stockdale
Arts & Sciences Graduate Student Theses and Dissertations
The aim of this thesis is to investigate weak-type inequalities for linear and multilinear Calderón-Zygmund operators in Euclidean and weighted settings using the Calderón- Zygmund decomposition and ideas inspired by Nazarov, Treil, and Volberg. In the linear setting, a new simple proof of the classical weak-type (1; 1) property is given with motivation For multilinear Calderón-Zygmund operators, the Nazarov-Treil-Volberg ideas lead to a new proof of the weak-type (1,. . . ,1; 1/m) estimate. Connecting the weighted and multilinear settings, a weighted weak-type estimate for multilinear Calderón-Zygmund operators is proved. Two proofs for the weighted multilinear inequality are presented – …
Laurent Series Expansion And Its Applications,
2020
Portland State University
Laurent Series Expansion And Its Applications, Anna Sobczyk
University Honors Theses
The Laurent expansion is a well-known topic in complex analysis for its application in obtaining residues of complex functions around their singularities. Computing the Laurent series of a function around its singularities turns out to be an efficient way to determine the residue of the function as well as to compute the integral of the function along any closed curves around its singularities. Based on the theory of the Laurent series, this paper provides several working examples where the Laurent series of a function is determined and then used to calculate the integral of the function along any closed curve …
Bayesian Posterior Inference And Lan For L̩Vy Models Under High-Frequency Data,
2020
Washington University in St. Louis
Bayesian Posterior Inference And Lan For L̩Vy Models Under High-Frequency Data, Qi Wang
Arts & Sciences Graduate Student Theses and Dissertations
Parameter estimation and inference for L̩vy models under high-frequency data has been an exciting and important task in the field of financial mathematics and has been found practically useful when analyzing real financial data. One feature of L̩vy models is the allowance of jumps to model the abrupt changes sometimes observed in the market. In this thesis, we discuss some problems related to the statistical inference of L̩vy models based on high-frequency data emphasizing on the presence of the jumps. The first problem we consider focuses on the estimation of the volatility, which is critical to measure and control the …
Operator Noncommutative Function Theory And Partial Matrix And Operator Convexity,
2020
Washington University in St. Louis
Operator Noncommutative Function Theory And Partial Matrix And Operator Convexity, Mark E. Mancuso
Arts & Sciences Graduate Student Theses and Dissertations
No abstract provided.
A Study On Lexicographic Shellable Posets,
2020
Washington University in St. Louis
A Study On Lexicographic Shellable Posets, Tiansi Li
Arts & Sciences Graduate Student Theses and Dissertations
In this thesis, I will discuss the relations and differences between EL-shellable and CL-shellable posets. I will present examples of EL-shellable posets that are previously known to be CL-shellable, including rank-selected subposets of EL- shellable posets such as the Smirnov words posets, and comodernistic lattices. I will show that EL-shellability is equivalent to root-independent recursive atom ordering, and present two examples of CL-shellable posets that are not EL- shellable, one of which is a graded poset and the other is ungraded. In the end, I will briefly discuss how I think might fully characterize CL-shellable posets that are not EL-shellable.
Computation Of Knudsen Diffusivity In Domains With Boundary Micro-Structure,
2020
Washington University in St. Louis
Computation Of Knudsen Diffusivity In Domains With Boundary Micro-Structure, Luis Alberto Garcia German
Arts & Sciences Graduate Student Theses and Dissertations
We develop an analytical framework and numerical methods for the determination of the coefficient of self-diffusivity for the transport of a rarefied gas in channels, in the limit of large Knudsen number. We provide an effective method for determining the influence of channel surface micro-structure on the value of diffusivity. We also show how characteristic numbers of the system, namely geometric parameters of the micro-structure, the spectral gap of a Markov transition operator defined for a given micro-structure, and the tangential momentum accommodation coefficient of a commonly used model of surface scattering, are related. Examples of micro-structures are investigated regarding …
Multilevel Asymptotic Parallel-In-Time Techniques For Temporally Oscillatory Pdes,
2020
University of New Mexico - Main Campus
Multilevel Asymptotic Parallel-In-Time Techniques For Temporally Oscillatory Pdes, Nicholas Abel
Mathematics & Statistics ETDs
As the clock speeds of individual processors level off and the amount of parallel resources continue to increase rapidly, further exploitation of parallelism is necessary to improve compute times. For time-dependent differential equations, the serial computation of time-stepping presents a bottleneck, but parallel-in-time integration methods offer a way to compute the solution in parallel along the time domain. Parallel-in-time methods have been successful in achieving speedup when computing solutions for parabolic problems; however, for problems with large hyperbolic terms and no strong diffusivity, parallel-in-time methods have traditionally struggled to offer speedup. While work has been done to understand why parallel-in-time …
"Tracker Software And Matchbox Car Jumps”,
2020
Illinois Mathematics and Science Academy
"Tracker Software And Matchbox Car Jumps”, Kelly W. Remijan
Teacher Resources
No abstract provided.
Strategies And Algorithms Of Sudoku,
2020
Louisiana Tech University
Strategies And Algorithms Of Sudoku, Callie Weaver
Mathematics Senior Capstone Papers
This paper discusses different strategies for the game of Sudoku and how those strategies relate to other problem solving techniques while also attempting to use those other techniques in a way that improves the strategies for Sudoku. This includes a thorough analysis of the general algorithm and an algorithm that is formed by the Occupancy Theorem and Preemptive Sets. This paper also compares these algorithms that directly relate to Sudoku with algorithms to similar combinatorial problems such as the Traveling Salesman problem and more. With the study of game theory becoming more popular, these strategies have also been shown to …
Fostering Student Engagement Through A Real-World, Collaborative Project Across Disciplines And Institutions,
2020
Kettering University
Fostering Student Engagement Through A Real-World, Collaborative Project Across Disciplines And Institutions, Laura Mebert, Roy Barnes, Jacqueline Dalley, Leszek Gawarecki, Farnaz Ghazi Nezami, Gregory Shafer, Jill Slater, Erin Yezbick
Mathematics Publications
Ample research has identified several features of a learning experience likely to enhance student learning, including collaboration, open-ended exploration, and problem-based learning in real-life scenarios. Missing is a model of how instructors might combine these elements into a single project that works flexibly across disciplines and institutions. This article fills this gap by offering such a model and reporting on its effectiveness in fostering student engagement. It describes a project that instructors at four colleges and universities in Flint, Michigan (USA) piloted during the height of the Flint water crisis. The project asked students to apply class content to the …
Domination Number Of Annulus Triangulations,
2020
Yokohama National University
Domination Number Of Annulus Triangulations, Toshiki Abe, Junki Higa, Shin-Ichi Tokunaga
Theory & Applications of Graphs
An annulus triangulation G is a 2-connected plane graph with two disjoint faces f1 and f2 such that every face other than f1 and f2 are triangular, and that every vertex of G is contained in the boundary cycle of f1 or f2. In this paper, we prove that every annulus triangulation G with t vertices of degree 2 has a dominating set with cardinality at most ⌊ \frac{|V(G)|+t+1}{4} ⌋ if G is not isomorphic to the octahedron. In particular, this bound is best possible.
"Human Cannonball Stunts And Quadratic Functions”,
2020
Illinois Mathematics and Science Academy
"Human Cannonball Stunts And Quadratic Functions”, Kelly W. Remijan
Teacher Resources
No abstract provided.
The Theory Of Cryptography In Bitcoin,
2020
Louisiana Tech University
The Theory Of Cryptography In Bitcoin, Can Hong
Mathematics Senior Capstone Papers
Bitcoin is a well known virtual currency, or cryptocurrency. It was created by a group of people using the name Satoshi Nakamoto in 2008. Currently, many people are utilizing Bitcoin for personal gains and transactions. To keep transactions secure requires techniques from modern cryptography. In this paper, we explain certain aspects of the cryptography of Bitcoin. We are going to discuss two components of the cryptography of Bitcoin—hash functions and signatures. We will describe what the hash function and signature are, give some examples of hash functions, and discuss certain criteria that good hash functions should satisfy.
Periodic Points And Sharkovsky’S Theorem,
2020
Louisiana Tech University
Periodic Points And Sharkovsky’S Theorem, Luke J. Seaton
Mathematics Senior Capstone Papers
The number of periodic points of a function depends on the context. The number of complex periodic points and rational periodic points have been shown to be infinite and finite, respectively, if f is a polynomial of degree at least 2. However, the number of real periodic points can be either finite or infinite. Sharkovskys Theorem states that if p is left of q in the “Sharkovsky ordering” and the continuous function f has a point of period p, then f also has a point of period q. This statement becomes very powerful when considering a function that has points …
Leveraging Model Flexibility And Deep Structure: Non-Parametric And Deep Models For Computer Vision Processes With Applications To Deep Model Compression,
2020
Portland State University
Leveraging Model Flexibility And Deep Structure: Non-Parametric And Deep Models For Computer Vision Processes With Applications To Deep Model Compression, Anthony D. Rhodes
Dissertations and Theses
My dissertation presents several new algorithms incorporating non-parametric and deep learning approaches for computer vision and related tasks, including object localization, object tracking and model compression. With respect to object localization, I introduce a method to perform active localization by modeling spatial and other relationships between objects in a coherent "visual situation" using a set of probability distributions. I further refine this approach with the Multipole Density Estimation with Importance Clustering (MIC-Situate) algorithm. Next, I formulate active, "situation" object search as a Bayesian optimization problem using Gaussian Processes. Using my Gaussian Process Context Situation Learning (GP-CL) algorithm, I demonstrate improved …
Modeling The Global Plastic Pollution In Our Oceans,
2020
Bridgewater State University
Modeling The Global Plastic Pollution In Our Oceans, Anna Fateiger
Honors Program Theses and Projects
Plastic is everywhere—from our plastic bottles and straws to the inside of our phones and the clothes we wear every day. Its widespread use has left a legacy of trash, with large amounts of plastic spilling from landfills into oceans. The accumulation of plastic debris in our oceans has severely affected marine life and has even entered into the human food chain. In this project, we created a mathematical model to estimate global plastic waste-generation and ocean runoff using existing data from 1980 to 2015. Using a dynamic system, we calculated the amount of plastic that ends up in landfills …
