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Now showing items 1-10 of 68

#### The Homotopy Theory of Commutative dg Algebras and Representability Theorems for Lie Algebra Cohomology

(2019)

Building on the seminal works of Quillen and Sullivan, Bousfield and Guggenheim developed a "homotopy theory" for commutative differential graded algebras (cdgas) in order to study the rational homotopy theory of topological ...

#### Classification and Statistical Analysis of Employment Growth in United States Counties

(2019)

Employment growth is an important economic indicator. It is used to judge the state of the economy and drive major policy decisions. Employment growth is typically examined by analyzing company characteristics and policy ...

#### Use of Approximate Set Differences to Infer the Movement of Objects in Point Clouds

(2018)

To support the mathematical eld of change detection, we present a novel detec-
tion algorithm based on approximate set di erences. Our goal is to determine how
e ective the algorithm is for detecting the movement of objects ...

#### Developing a General Method for Analyzing Psychomotor Vigilance Task (PVT) Data: Modeling Sleep Inertia in Children

(2018)

Some data analysis applications may violate the assumptions of standard (e.g., linear model) frameworks. In such cases, a common solution is to develop a more suitable system-specific model, and from it derive the statistical ...

#### A Discrete Truncated Power-law Distribution

(2018)

This thesis concerns discrete probability distributions with power-law tailbehavior. Discrete power-law distributions are reviewed together withtheir truncated versions. The Zipf distribution (Zipf, 1932) is then focusedon ...

#### Dual Diophantine Approximation on Planar Curves: General Hausdorff theory

(2018)

The general Hausdorff theory of Dual Diophantine approximation on manifolds was initiated by the work of Beresnevich, Dickinson, and Velani, in which they established that the set of ψ -approximable points on a manifold ...

#### Ordering and Self-Similarity in Non-Binary Trees

(2017)

Ordering and self-similarity in binary trees has been well-studied. Self-similarity was first observed in river networks, and has since been shown to have many useful properties and modeling applications, from leaf vein ...

#### Symmetry-breaking perturbations on the global attractor of the Kuramoto--Sivashinsky equation

(2017)

We study symmetry-breaking of solutions on the global attractor of the Kuramoto--Sivashinsky equation. In our theory we prove that trajectories which result from small perturbations of a point on the global attractor stay ...

#### Generalized Univariate Distributions and a New Asymmetric Laplace Model

(2017)

This work provides a survey of general class of distributions generated from a mixture of beta random variables. We provide an extensive review of the literature, concerning generating new distributions via the inverse CDF ...

#### Self-similarity of Random Aggregation Trees in Hyperbolic Spaces

(2017)

Structure and function of complex networks is an intriguing area of research with numerous practical applications. It has been shown recently that several paradigmatic properties of complex networks, including power-law ...