Pricing Variance Swaps For The Discrete Bn-S Model, 2024 School of Computing and Data Science, Wentworth Institute of Technology, Boston MA, 02115, USA

#### Pricing Variance Swaps For The Discrete Bn-S Model, Semere Gebresilasie

*Journal of Stochastic Analysis*

No abstract provided.

Uniqueness Of Maximum Points Of A Sequence Of Functions Arising From An Adapted Algorithm For ‘The Secretary Problem’, 2024 Old Dominion University

#### Uniqueness Of Maximum Points Of A Sequence Of Functions Arising From An Adapted Algorithm For ‘The Secretary Problem’, Boning Wang, Giang Vu Thanh Nguyen

*OUR Journal: ODU Undergraduate Research Journal*

This paper is aimed at a sequence of functions that is extended from an adaptive algorithm of the classical ‘secretary problem’. It was proved in Nguyen et al. (2024) the uniqueness of maximizers of a function sequence that represents the expected score of an element in a ‘candidate’ sequence. This function sequence is indeed considered as a special case of an extended function sequence that corresponds to the case α = 0. More specifically, we are motivated to prove the uniqueness of maximizers for this extended function sequence in the case α = 1. Nevertheless, the corresponding proof is rather …

Decision-Making In Diagnosing Heart Failure Problems Using Dual Hesitant Fuzzy Sets, 2024 Universityof Tanta, Faculty of Engineering

#### Decision-Making In Diagnosing Heart Failure Problems Using Dual Hesitant Fuzzy Sets, Manar Mohamed Omran, Reham Abdel-Aziz Abo-Khadra

*Journal of Engineering Research*

In recent decades, several types of sets, such as fuzzy sets, interval-valued fuzzy sets, intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets, type 2 fuzzy sets, type *n* fuzzy sets, and hesitant fuzzy sets, have been introduced and investigated widely. In this paper, we propose dual hesitant fuzzy sets (DHFSs), which encompass fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy sets, and fuzzy multi-sets as special cases. Then we investigate the basic operations and properties of DHFSs. We also discuss the relationships among the sets mentioned above, and then propose an extension principle of DHFSs. Additionally, we give an example to illustrate …

(Si13-07) Optimal Range For Value Of Two-Person Zero-Sum Game Models With Uncertain Payoffs, 2024 VIT Bhopal University, India

#### (Si13-07) Optimal Range For Value Of Two-Person Zero-Sum Game Models With Uncertain Payoffs, Sana Afreen, Ajay Kumar Bhurjee

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

Game theory deals with the decision-making of individuals in conflicting situations with known payoffs. However, these payoffs are imprecisely known, which means they have uncertainty due to vagueness in the data set of most real-world problems. Therefore, we consider a two-person zero-sum game model on a larger scale where the payoffs are imprecise and lie within a closed interval. We define the pure and mixed strategy as well as value for the game models. The proposed method computes the optimal range for the value of the game model using interval analysis. To derive some important results, we establish some lemmas …

Q-Rational Functions And Interpolation With Complete Nevanlinna–Pick Kernels, 2024 Chapman University

#### Q-Rational Functions And Interpolation With Complete Nevanlinna–Pick Kernels, Daniel Alpay, Paula Cerejeiras, Uwe Kaehler, Baruch Schneider

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

In this paper we introduce the concept of matrix-valued *q*-rational functions. In comparison to the classical case, we give different characterizations with principal emphasis on realizations and discuss algebraic manipulations. We also study the concept of Schur multipliers and complete Nevanlinna–Pick kernels in the context of *q*-deformed reproducing kernel Hilbert spaces and provide first applications in terms of an interpolation problem using Schur multipliers and complete Nevanlinna–Pick kernels.

Errata: The Product Of Distributions And Stochastic Differential Equations Arising From Powers Of Infinite Dimensional Brownian Motions, 2024 Institute for Industrial and Applied Mathematics, Chungbuk National University, Cheongju 28644, Korea

#### Errata: The Product Of Distributions And Stochastic Differential Equations Arising From Powers Of Infinite Dimensional Brownian Motions, Un Cig Ji, Hui-Hsiung Kuo, Hara-Yuko Mimachi, Kimiaki Saito

*Journal of Stochastic Analysis*

No abstract provided.

Limit Theorems For L-Functions In Analytic Number Theory, 2024 The Graduate Center, City University of New York

#### Limit Theorems For L-Functions In Analytic Number Theory, Asher Roberts

*Dissertations, Theses, and Capstone Projects*

We use the method of Radziwill and Soundararajan to prove Selberg’s central limit theorem for the real part of the logarithm of the Riemann zeta function on the critical line in the multivariate case. This gives an alternate proof of a result of Bourgade. An upshot of the method is to determine a rate of convergence in the sense of the Dudley distance. This is the same rate Selberg claims using the Kolmogorov distance. We also achieve the same rate of convergence in the case of Dirichlet L-functions. Assuming the Riemann hypothesis, we improve the rate of convergence by using …

The Bicomplex Tensor Product And A Bicomplex Choi Theorem, 2024 Chapman University

#### The Bicomplex Tensor Product And A Bicomplex Choi Theorem, Daniel Alpay, Antonino De Martino, Kamal Diki, Mihaela Vajiac

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

In this paper we extend the concept of tensor product to the bicomplex case and use it to prove the bicomplex counterpart of the classical Choi theorem in the theory of complex matrices and operators. The concept of hyperbolic tensor product is also discussed, and we link these results to the theory of quantum channels in the bicomplex and hyperbolic case.

Research: Art, Information, And Academic Inquiry, 2024 University of Maine

#### Research: Art, Information, And Academic Inquiry, Luke D. Mckinney

*Electronic Theses and Dissertations*

In light of the rapidly changing landscape of knowledge production and dissemination, this paper proposes a reformation of academic research that integrates artistic methodologies, emphasizes interdisciplinary collaboration, and prioritizes clear communication to both specialized and general audiences. By reconceptualizing research as a multidimensional, embodied practice that encompasses both rational and irrational elements, we can create a more inclusive, adaptable, and effective approach to scholarship that bridges the rational divide between artistic and scientific inquiry that allows for the engagement of Artistic Research from within the institution, ultimately leading to more innovative and impactful contributions to human knowledge.

Bernoulli Convolution Of The Depth Of Nodes In Recursive Trees With General Affinities, 2024 University of Teacher Education Fukuoka

#### Bernoulli Convolution Of The Depth Of Nodes In Recursive Trees With General Affinities, Toshio Nakata, Hosam Mahmoud

*Journal of Stochastic Analysis*

No abstract provided.

Effective Wordle Heuristics, 2024 Loyola University Chicago

#### Effective Wordle Heuristics, Ronald I. Greenberg

*Computer Science: Faculty Publications and Other Works*

While previous researchers have performed an exhaustive search to determine an optimal Wordle strategy, that computation is very time consuming and produced a strategy using words that are unfamiliar to most people. With Wordle solutions being gradually eliminated (with a new puzzle each day and no reuse), an improved strategy could be generated each day, but the computation time makes a daily exhaustive search impractical. This paper shows that simple heuristics allow for fast generation of effective strategies and that little is lost by guessing only words that are possible solution words rather than more obscure words.

Book Review: How To Expect The Unexpected: The Science Of Making Predictions -- And The Art Of Knowing When Not To By Kit Yates, 2024 Claremont McKenna College

#### Book Review: How To Expect The Unexpected: The Science Of Making Predictions -- And The Art Of Knowing When Not To By Kit Yates, Mark Huber

*Journal of Humanistic Mathematics*

Humans think about the future all the time. Prediction is a part of how we prepare for the coming of both good and bad events in our lives. Kit Yates' book, *How to expect the unexpected*, concentrates primarily on the question of why prediction is difficult, and what mental shortcuts people take in prediction that can lead to incorrect results. Unfortunately, a lack of concern for details and several omissions undermine the quality of the book.

Short-Time Fourier Transform And Superoscillations, 2024 Chapman University

#### Short-Time Fourier Transform And Superoscillations, Daniel Alpay, Antonino De Martino, Kamal Diki, Daniele C. Struppa

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

In this paper we investigate new results on the theory of superoscillations using time-frequency analysis tools and techniques such as the short-time Fourier transform (STFT) and the Zak transform. We start by studying how the short-time Fourier transform acts on superoscillation sequences. We then apply the supershift property to prove that the short-time Fourier transform preserves the superoscillatory behavior by taking the limit. It turns out that these computations lead to interesting connections with various features of time-frequency analysis such as Gabor spaces, Gabor kernels, Gabor frames, 2D-complex Hermite polynomials, and polyanalytic functions. We treat different cases depending on the …

Stochastic Solutions For Hyperbolic Pde, 2024 Queen's University - Kingston, Ontario

#### Stochastic Solutions For Hyperbolic Pde, Abdol-Reza Mansouri, Zachary Selk

*Journal of Stochastic Analysis*

No abstract provided.

Analytic Properties Of Quantum States On Manifolds, 2024 The University of Western Ontario

#### Analytic Properties Of Quantum States On Manifolds, Manimugdha Saikia

*Electronic Thesis and Dissertation Repository*

The principal objective of this study is to investigate how the Kahler geometry of a classical phase space influences the quantum information aspects of the quantum Hilbert space obtained from geometric quantization and vice versa. We associated states with subsets of a product of two integral Kahler manifolds using a quantum line bundle in a particular manner. We proved that the states associated this way are separable when the subset is a finite union of products. We presented an asymptotic result for the average entropy over all the pure states on the Hilbert space H^{0}(M_{1},L_{1 …}

Limit Theorems For Increments Of Branching Particle Systems With Linear Rates And Poisson Initial Condition, 2024 University of Toronto, Toronto, Canada

#### Limit Theorems For Increments Of Branching Particle Systems With Linear Rates And Poisson Initial Condition, Alexander Kreinin, Vladimir V. Vinogradov

*Journal of Stochastic Analysis*

No abstract provided.

The B-Chromatic Number Of Super Cycles, 2024 DePaul University

#### The B-Chromatic Number Of Super Cycles, Blair E. Johnson

*DePaul Discoveries*

The b-chromatic number, a characteristic studied in graph theory, was introduced less than 25 years ago, and while some statistics have been gathered of its properties, the b-chromatic number has yet to be explored in many graphs and circumstances. Before the Undergraduate Summer Research Program, I had no exposure to graph theory, let alone b-colorings. Throughout the program, I developed a fundamental understanding of the subject and began to pursue my own research inquiries. While this objective was difficult to attain at the beginning, I learned strategies and methods to hone my ability to delve into different graphs, and soon …

Holomorphic Functional Calculus Approach To The Characteristic Function Of Quantum Observables, 2024 Volterra Center, Roma

#### Holomorphic Functional Calculus Approach To The Characteristic Function Of Quantum Observables, Andreas Boukas

*Journal of Stochastic Analysis*

No abstract provided.

Mathematical Methods For Economics And Business Syllabus, 2024 CUNY City College

#### Mathematical Methods For Economics And Business Syllabus, Marian Melnyk

*Open Educational Resources*

This syllabus outlines an online asynchronous course introducing essential mathematical tools and techniques in economics. It spans 24 sessions covering Functions, Differentiation, Limits, Integration, and Multivariable Functions, grounded in college algebra and calculus. The course utilizes Open Educational Resources (OER) for all materials, available in text and video formats on Blackboard. Continuous assessment, including quizzes, homework, two 1-hour tests, and a final exam, ensures consistent progress. Weekly online office hours provide additional support. The primary objective is to equip students with the mathematical skills necessary for economic analysis and problem-solving.

Building Blocks For W-Algebras Of Classical Types, 2024 University of Denver

#### Building Blocks For W-Algebras Of Classical Types, Vladimir Kovalchuk

*Electronic Theses and Dissertations*

The universal 2-parameter vertex algebra *W*_{∞} of type *W*(2, 3, 4; . . . ) serves as a classifying object for vertex algebras of type *W*(2, 3, . . . ,*N*) for some *N* in the sense that under mild hypothesis, all such vertex algebras arise as quotients of *W*_{∞}. There is an ℕ X ℕ family of such 1-parameter vertex algebras known as *Y*-algebras. They were introduced by Gaiotto and Rapčák are expected to be building blocks for all *W*-algebras in type* A*, i.e, every *W*-(super) algebra in …