Problem Of The Week: A Student-Led Initiative To Bring Mathematics To A Broader Audience, 2023 University of Nebraska at Omaha

#### Problem Of The Week: A Student-Led Initiative To Bring Mathematics To A Broader Audience, Jordan M. Sahs, Brad Horner

*UNO Student Research and Creative Activity Fair*

Problem of the Week (POW!) is a weekly undergraduate mathematics competition hosted by two graduate students from the UNO Math Department. It started with the goal to showcase variety, creativity, and intrigue in math to those who normally feel math is dry, rote, and formulaic. Problems shine light on both hidden gems and popular recreational math, both math history and contemporary research, both iconic topics and nontraditional ones, both pure abstraction and real-world application. Now POW! aims to increase availability and visibility in Omaha and beyond. Select problems from Fall 2021 to Spring 2023 are highlighted here: these received noteworthy …

Modelling Illiquid Stocks Using Quantum Stochastic Calculus, 2023 Memorial University of Newfoundland, St Johns, NL A1C 5S7, Canada

#### Modelling Illiquid Stocks Using Quantum Stochastic Calculus, Will Hicks

*Journal of Stochastic Analysis*

No abstract provided.

Symmetric Functions Algebras I: Introduction And Basic Features, 2023 Southern Illinois University, Carbondale, Illinois 62901, USA

#### Symmetric Functions Algebras I: Introduction And Basic Features, Philip Feinsilver

*Journal of Stochastic Analysis*

No abstract provided.

Random Variables With Overlapping Number And Weyl Algebras I, 2023 Missouri State University, Springfield, MO 65897, U.S.A.

#### Random Variables With Overlapping Number And Weyl Algebras I, Ruma Dutta, Gabriela Popa, Aurel Stan

*Journal of Stochastic Analysis*

No abstract provided.

Pricing Multi-Asset Contingent Claims In A Multi-Dimensional Binomial Market, 2023 University of Aberdeen, AB24 3UE Aberdeen, Scotland, UK

#### Pricing Multi-Asset Contingent Claims In A Multi-Dimensional Binomial Market, Jarek Kedra, Assaf Libman, Victoria Steblovskaya

*Journal of Stochastic Analysis*

No abstract provided.

The Malliavin-Stein Method For Normal Random Walks With Dependent Increments, 2023 University Melbourne, Parkville VIC 3010, Australia

#### The Malliavin-Stein Method For Normal Random Walks With Dependent Increments, Ian Flint, Nicolas Privault, Giovanni Luca Torrisi

*Journal of Stochastic Analysis*

No abstract provided.

The Babelogic Of Mathematics, 2023 Aravali Asset Management, Singapore

#### The Babelogic Of Mathematics, Vijay Fafat

*Journal of Humanistic Mathematics*

How would the Bible written about a Mathematical God start, describing the Creation of Mathematics and Logic? How would Rigveda's "Nasadiya sukta" read if it were describing the Void before mathematics was "born"? Here is an attempt at a partial answer, one which takes the original Genesis chapter and the Nasadiya sukta and makes suitable changes to create a fairly consistent, if somewhat anachronistic narrative (with the slight mixing up of Bertrand Russell and Lobachevsky / Bolyai attributable to "Babelogic"), along with a new ending to the Beginning...

A Stronger Strong Schottky Lemma For Euclidean Buildings, 2023 The Graduate Center, City University of New York

#### A Stronger Strong Schottky Lemma For Euclidean Buildings, Michael E. Ferguson

*Dissertations, Theses, and Capstone Projects*

We provide a criterion for two hyperbolic isometries of a Euclidean building to generate a free group of rank two. In particular, we extend the application of a Strong Schottky Lemma to buildings given by Alperin, Farb and Noskov. We then use this extension to obtain an infinite family of matrices that generate a free group of rank two. In doing so, we also introduce an algorithm that terminates in finite time if the lemma is applicable for pairs of certain kinds of matrices acting on the Euclidean building for the special linear group over certain discretely valued fields.

From Mirrors To Wallpapers: A Virtual Math Circle Module On Symmetry, 2023 Central New Mexico Community College

#### From Mirrors To Wallpapers: A Virtual Math Circle Module On Symmetry, Nicole A. Sullivant, Christina L. Duron, Douglas T. Pfeffer

*Journal of Math Circles*

Symmetry is a natural property that children see in their everyday lives; it also has deep mathematical connections to areas like tiling and objects like wallpaper groups. The Tucson Math Circle (TMC) presents a 7-part module on symmetry that starts with reflective symmetry and culminates in the deconstruction of wallpapers into their ‘generating tiles’. This module utilizes a scaffolded, hands-on approach to cover old and new mathematical topics with various interactive activities; all activities are made available through free web-based platforms. In this paper, we provide lesson plans for the various activities used, and discuss their online implementation with Zoom, …

The Merchant And The Mathematician: Commerce And Accounting, 2023 Università di Firenze

#### The Merchant And The Mathematician: Commerce And Accounting, Graziano Gentili, Luisa Simonutti, Daniele C. Struppa

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

In this article we describe the invention of double-entry bookkeeping (or *partita doppia*as it was called in Italian), as a fertile intersection between mathematics and early commerce. We focus our attention on this seemingly simple technique that requires only minimal mathematical expertise, but whose discovery is clearly the result of a mathematical way of thinking, in order to make a conceptual point about the role of mathematics as the humus from which disciplines as different as operations research, computer science, and data science have evolved.

Runge-Kutta Methods For Rough Differential Equations, 2022 Martin Luther University Halle-Wittenberg, Institute of Mathematics, Theodor-Lieser-Str. 5, 06120 Halle (Saale), Germany

#### Runge-Kutta Methods For Rough Differential Equations, Martin Redmann, Sebastian Riedel

*Journal of Stochastic Analysis*

No abstract provided.

A Jump-Diffusion Process For Asset Price With Non-Independent Jumps, 2022 Hofstra University, Hempstead, NY 11549 USA

#### A Jump-Diffusion Process For Asset Price With Non-Independent Jumps, Yihren Wu, Majnu John

*Journal of Stochastic Analysis*

No abstract provided.

Quantization Of The Monotone Poisson Central Limit Theorem, 2022 Università di Bari, n.4, Via E. Orabona, 70125 Bari, Italy

#### Quantization Of The Monotone Poisson Central Limit Theorem, Yungang Lu

*Journal of Stochastic Analysis*

No abstract provided.

Applications Of A Superposed Ornstein-Uhlenbeck Type Processes, 2022 African Institute for Mathematical Sciences (AIMS), Cameroon

#### Applications Of A Superposed Ornstein-Uhlenbeck Type Processes, Santatriniaina Avotra Randrianambinina, Julius Esunge

*Journal of Stochastic Analysis*

No abstract provided.

On The Diagonalizability And Factorizability Of Quadratic Boson Fields, 2022 Universitá di Roma Tor Vergata, Via di Torvergata, Roma, Italy

#### On The Diagonalizability And Factorizability Of Quadratic Boson Fields, Luigi Accardi, Andreas Boukas, Yungang Lu, Alexander Teretenkov

*Journal of Stochastic Analysis*

No abstract provided.

(R1958) On Deferred Statistical Convergence Of Fuzzy Variables, 2022 Bartin University

#### (R1958) On Deferred Statistical Convergence Of Fuzzy Variables, Ömer Kişi, Mehmet Gürdal, Ekrem Savaş

*Applications and Applied Mathematics: An International Journal (AAM)*

In this paper, within framework credibility theory, we examine several notions of convergence and statistical convergence of fuzzy variable sequences. The convergence of fuzzy variable sequences such as the notion of convergence in credibility, convergence in distribution, convergence in mean, and convergence uniformly virtually certainly via postponed Cesàro mean and a regular matrix are researched using fuzzy variables. We investigate the connections between these concepts. Significant results on deferred statistical convergence for fuzzy variable sequences are thoroughly investigated.

(R1886) Effect Of Aggregation Function In Moma-Plus Method For Obtaining Pareto Optimal Solutions, 2022 Université Joseph Ki-Zerbo

#### (R1886) Effect Of Aggregation Function In Moma-Plus Method For Obtaining Pareto Optimal Solutions, Alexandre Som, Abdoulaye Compaoré, Kounhinir Somé, Blaise Somé

*Applications and Applied Mathematics: An International Journal (AAM)*

In this work, we have proposed some variants of MOMA-Plus method that we have numerically tested for the resolution of nonlinear multiobjective optimization problems. This MOMA-Plus method and variants differ from each other by the choice of aggregation functions in order to reduce the number of objective functions. The theoretical results allowing us to use these aggregation functions to transform multiobjective optimization problems into single objective optimization problems are proved by two theorems. This study has highlighted the advantages of each aggregation function according to the type of Pareto front of the optimization problem. Six benchmarks test problems have been …

(R1888) On The Mackey-Glass Model With A Piecewise Constant Argument, 2022 Uşak University

#### (R1888) On The Mackey-Glass Model With A Piecewise Constant Argument, Mehtap Lafci Büyükkahraman

*Applications and Applied Mathematics: An International Journal (AAM)*

In this paper, we deal with the Mackey-Glass model with piecewise constant argument. Because the corresponding difference equation is the difference solution of the equation, the difference equation can clearly predict the dynamic behavior of the equation. So, we look at how the difference equation behaves.We study the asymptotic stability of the equilibrium point of the difference equation and it is obtained that this point is a repeller under some conditions. Also, it is shown that every oscillatory solution of the difference equation has semi-cycles of length at least two, and every oscillatory solution of the difference equation is attracted …

A Comparison Of Cryptographic Methods, 2022 Liberty University

#### A Comparison Of Cryptographic Methods, Christopher Gilmore

*Senior Honors Theses*

While elliptic curve cryptography and quantum cryptography are significantly different branches of cryptography, they provide a suitable reference point for comparison of the value of developing methods used in the present and investing in methods to be used in the future. Elliptic curve cryptography is quite common today, as it is generally secure and efficient. However, as the field of cryptography advances, the value of quantum cryptography’s inherent security from its basic properties should be considered, as a fully realized quantum cryptosystem has the potential to be quite powerful. Ultimately, it is of critical importance to determine the value of …

On The Smallest Non-Trivial Action Of Saut(Fn) For Small N, 2022 Hertford College, University of Oxford

#### On The Smallest Non-Trivial Action Of Saut(Fn) For Small N, Reemon Spector

*Rose-Hulman Undergraduate Mathematics Journal*

In this paper we investigate actions of SAut(*F _{n}*), the unique index 2 subgroup of Aut(

*F*), on small sets, improving upon results by Baumeister--Kielak--Pierro for several small values of

_{n}*n*. Using a computational approach for

*n*⩾ 5, we show that every action of SAut(

*F*) on a set containing fewer than 20 elements is trivial.

_{n}