Alòs Type Decomposition Formula For Barndorff-Nielsen And Shephard Model, 2021 Keio University, 2-15-45 Mita, Minato-ku, Tokyo, 108-8345, Japan

#### Alòs Type Decomposition Formula For Barndorff-Nielsen And Shephard Model, Takuji Arai

*Journal of Stochastic Analysis*

No abstract provided.

Mixed Generalized Fractional Brownian Motion, 2021 Imam Abdulrahman Bin Faisal University, P. O. Box 1982, Dammam, Saudi Arabia

#### Mixed Generalized Fractional Brownian Motion, Shaykhah Alajmi, Ezzedine Mliki

*Journal of Stochastic Analysis*

No abstract provided.

Exact Solutions To Optimal Control Problems For Wiener Processes With Exponential Jumps, 2021 Polytechnique Montréal, Montréal, Québec H3C 3A7, Canada

#### Exact Solutions To Optimal Control Problems For Wiener Processes With Exponential Jumps, Mario Lefebvre

*Journal of Stochastic Analysis*

No abstract provided.

Zeta Function Regularization And Its Relationship To Number Theory, 2021 East Tennessee State University

#### Zeta Function Regularization And Its Relationship To Number Theory, Stephen Wang

*Electronic Theses and Dissertations*

While the "path integral" formulation of quantum mechanics is both highly intuitive and far reaching, the path integrals themselves often fail to converge in the usual sense. Richard Feynman developed regularization as a solution, such that regularized path integrals could be calculated and analyzed within a strictly physics context. Over the past 50 years, mathematicians and physicists have retroactively introduced schemes for achieving mathematical rigor in the study and application of regularized path integrals. One such scheme was introduced in 2007 by the mathematicians Klaus Kirsten and Paul Loya. In this thesis, we reproduce the Kirsten and Loya approach to ...

Constructions & Optimization In Classical Real Analysis Theorems, 2021 East Tennessee State University

#### Constructions & Optimization In Classical Real Analysis Theorems, Abderrahim Elallam

*Electronic Theses and Dissertations*

This thesis takes a closer look at three fundamental Classical Theorems in Real Analysis. First, for the Bolzano Weierstrass Theorem, we will be interested in constructing a convergent subsequence from a non-convergent bounded sequence. Such a subsequence is guaranteed to exist, but it is often not obvious what it is, e.g., if an = sin n. Next, the H¨older Inequality gives an upper bound, in terms of p ∈ [1,∞], for the the integral of the product of two functions. We will find the value of p that gives the best (smallest) upper-bound, focusing on the Beta and Gamma integrals ...

Applying Emotional Analysis For Automated Content Moderation, 2021 University of Arkansas, Fayetteville

#### Applying Emotional Analysis For Automated Content Moderation, John Shelnutt

*Computer Science and Computer Engineering Undergraduate Honors Theses*

The purpose of this project is to explore the effectiveness of emotional analysis as a means to automatically moderate content or flag content for manual moderation in order to reduce the workload of human moderators in moderating toxic content online. In this context, toxic content is defined as content that features excessive negativity, rudeness, or malice. This often features offensive language or slurs. The work involved in this project included creating a simple website that imitates a social media or forum with a feed of user submitted text posts, implementing an emotional analysis algorithm from a word emotions dataset, designing ...

Visual Analysis Of Historical Lessons Learned During Exercises For The United States Air Force Europe (Usafe), 2021 University of Nebraska at Omaha

#### Visual Analysis Of Historical Lessons Learned During Exercises For The United States Air Force Europe (Usafe), Samantha O'Rourke

*Theses/Capstones/Creative Projects*

Within the United States Air Force, there are repeated patterns of differences observed during exercises. After an exercise is completed, forms are filled out detailing observations, successes, and recommendations seen throughout the exercise. At the most, no two reports are identical and must be analyzed by personnel and then categorized based on common themes observed. Developing a computer application will greatly reduce the time and resources used to analyze each After Action Report. This application can visually represent these observations and optimize the effectiveness of these exercises. The visualization is done through graphs displaying the frequency of observations and recommendations ...

Reducing The Maximum Degree Of A Graph: Comparisons Of Bounds, 2021 Department of Mathematics, Faculty of Science, University of Malta, Malta

#### Reducing The Maximum Degree Of A Graph: Comparisons Of Bounds, Peter Borg

*Theory and Applications of Graphs*

Let $\lambda(G)$ be the smallest number of vertices that can be removed from a non-empty graph $G$ so that the resulting graph has a smaller maximum degree. Let $\lambda_{\rm e}(G)$ be the smallest number of edges that can be removed from $G$ for the same purpose. Let $k$ be the maximum degree of $G$, let $t$ be the number of vertices of degree $k$, let $M(G)$ be the set of vertices of degree $k$, let $n$ be the number of vertices in the closed neighbourhood of $M(G)$, and let $m$ be the number of edges ...

Stitching Dedekind Cuts To Construct The Real Numbers, 2021 Saint Edwards University

#### Stitching Dedekind Cuts To Construct The Real Numbers, Michael P. Saclolo

*Analysis*

No abstract provided.

Superoscillations And Analytic Extension In Schur Analysis, 2021 Chapman University

#### Superoscillations And Analytic Extension In Schur Analysis, Daniel Alpay, Fabrizio Colombo, Irene Sabadini

*Mathematics, Physics, and Computer Science Faculty Articles and Research*

We give applications of the theory of superoscillations to various questions, namely extension of positive definite functions, interpolation of polynomials and also of Rfunctions; we also discuss possible applications to signal theory and prediction theory of stationary stochastic processes. In all cases, we give a constructive procedure, by way of a limiting process, to get the required results.

New Representations For A Semi-Markov Chain And Related Filters, 2021 University of South Australia, Campus Central - City West, GPO Box 2471

#### New Representations For A Semi-Markov Chain And Related Filters, Robert J. Elliott, W. P. Malcolm

*Journal of Stochastic Analysis*

No abstract provided.

Wild Randomness And The Application Of Hyperbolic Diffusion In Financial Modelling, 2021 Memorial University of Newfoundland, St Johns, NL A1C 5S7, Canada

#### Wild Randomness And The Application Of Hyperbolic Diffusion In Financial Modelling, Will Hicks

*Journal of Stochastic Analysis*

No abstract provided.

Linear Decomposition And Anticipating Integral For Certain Random Variables, 2021 National Taitung University, No 369, University Road, Sec. 2, Taitung, Taiwan

#### Linear Decomposition And Anticipating Integral For Certain Random Variables, Ching-Tang Wu, Ju-Yi Yen

*Journal of Stochastic Analysis*

No abstract provided.

First Exit-Time Analysis For An Approximate Barndorff-Nielsen And Shephard Model With Stationary Self-Decomposable Variance Process, 2021 North Dakota State University, Fargo, North Dakota 58108-6050, USA

#### First Exit-Time Analysis For An Approximate Barndorff-Nielsen And Shephard Model With Stationary Self-Decomposable Variance Process, Shantanu Awasthi, Indranil Sengupta

*Journal of Stochastic Analysis*

No abstract provided.

Quantum Theories Associated To Increasing Hilbert Space Filtrations And Generalized Jacobi 3–Diagonal Relation, 2021 Università di Roma "Tor Vergata," via Columbia, 2, 00133 Roma, Italy

#### Quantum Theories Associated To Increasing Hilbert Space Filtrations And Generalized Jacobi 3–Diagonal Relation, Luigi Accardi, Yun Gang Lu

*Journal of Stochastic Analysis*

No abstract provided.

Rate Of Convergence In The Central Limit Theorem For Iid Pareto Variables, 2021 Hochschule RheinMain, 65022 Wiesbaden, Germany

#### Rate Of Convergence In The Central Limit Theorem For Iid Pareto Variables, Claas Becker, Manuel Bohnet, Sarah Kummert

*Journal of Stochastic Analysis*

No abstract provided.

Noncentral Limit Theorem For Large Wishart Matrices With Hermite Entries, 2021 CNRS, Université de Lille, Laboratoire Paul Painlevé UMR 8524, F-59655 Villeneuve d’Ascq, France

#### Noncentral Limit Theorem For Large Wishart Matrices With Hermite Entries, Charles-Philippe Diez, Ciprian A. Tudor

*Journal of Stochastic Analysis*

No abstract provided.

Fuzzy P-Value Of Hypotheses Tests With Crisp Data Using Non-Asymptotic Fuzzy Estimators, 2021 Democritus University of Thrace, Kimeria, Xanthi, 67100, Greece

#### Fuzzy P-Value Of Hypotheses Tests With Crisp Data Using Non-Asymptotic Fuzzy Estimators, Nikos Mylonas, Basil K. Papadopoulos

*Journal of Stochastic Analysis*

No abstract provided.

Total Differentiability And Monogenicity For Functions In Algebras Of Order 4, 2021 Politecnico di Milano

#### Total Differentiability And Monogenicity For Functions In Algebras Of Order 4, I. Sabadini, Daniele C. Struppa

*Mathematics, Physics, and Computer Science Faculty Articles and Research*

In this paper we discuss some notions of analyticity in associative algebras with unit. We also recall some basic tool in algebraic analysis and we use them to study the properties of analytic functions in two algebras of dimension four that played a relevant role in some work of the Italian school, but that have never been fully investigated.

A Gentle Introduction To Inequalities: A Casebook From The Fullerton Mathematical Circle, 2021 California State University, Fullerton

#### A Gentle Introduction To Inequalities: A Casebook From The Fullerton Mathematical Circle, Adam Glesser, Matt Rathbun, Bogdan Suceavă

*Journal of Math Circles*

Run for nearly a decade, the Fullerton Mathematical Circle at California State University, Fullerton prepares middle and high school students for mathematical research by exposing them to difficult problems whose solutions require only age-appropriate techniques and background. This work highlights one of the avenues of study, namely inequalities. We cover Engel's lemma, the Cauchy--Schwartz inequality, and the AM-GM inequality, as well as providing a wealth of problems where these results can be applied. Full solutions or hints, several written by Math Circle students, are given for all of the problems, as well as some commentary on how or when ...