Decision Space Decomposition For Multiobjective Programs,
2025
Clemson University
Decision Space Decomposition For Multiobjective Programs, Emma Soriano
All Dissertations
Being inspired by the parametric decomposition theorem for multiobjective optimization problems (MOPs) of Cuenca and Miguel (2017), and by the block- coordinate descent for single objective optimization problems, we present a decom- position theorem for computing the set of minimal elements of a partially ordered set. This set is decomposed into subsets whose minimal elements are used to retrieve the overall minimal elements. We apply this approach to strictly convex MOPs de- composing their decision space into lines. The line decomposition benefits from the fact that a multiobjective line search problem is equivalent to solving a collection of single objective …
Countering Deficit Narratives Through A Blackcrit Lens By Examining Case Studies Of Black College Mathematics Students’ Classroom Experiences,
2025
Clemson University
Countering Deficit Narratives Through A Blackcrit Lens By Examining Case Studies Of Black College Mathematics Students’ Classroom Experiences, Akhenaton Wilbourn
All Dissertations
This dissertation examines the lived experiences of 11 Black college mathematics students at their predominantly white institution (PWI) through the lens of Black Critical Theory (BlackCrit) to counter deficit narratives about the racial achievement gap (RAG) in mathematics education courses. Deficit narratives often attribute disparities between Black and white students’ mathematical performance to assumed deficiencies in Black students’ abilities rather than systemic inequities, historical marginalization, and ongoing anti-Blackness in educational settings (Cobb & Russell, 2015; Kress, 2021). Using multiple case studies, this study explores how anti-Blackness manifests in mathematics classrooms, how students navigate tensions between multiculturalism, neoliberal educational policies, and …
Supershift Properties For Nonanalytic Signals,
2025
Politecnico di Milano
Supershift Properties For Nonanalytic Signals, Fabrizio Colombo, Irene Sabadini, Daniele Carlo Struppa, Alain Yger
Mathematics, Physics, and Computer Science Faculty Articles and Research
The phenomenon of superoscillations is of great interest in microscopy, antenna design, and material sciences. This phenomenon has been generalized and has given rise to the concept of supershift, which is a far reaching extension that applies to functions that may present discontinuous derivatives. From this perspective, this is a notion that might have significant applications. This paper will provide an up to date report on the complex connections between the concept of supershift and that of analyticity.
Reinventing Mathematics Learning: An Exploration Of Undergraduate Mathematics Learning Post-Pandemic,
2025
University of Connecticut
Reinventing Mathematics Learning: An Exploration Of Undergraduate Mathematics Learning Post-Pandemic, Morgan R. Balesano
Honors Scholar Theses
In response to the COVID-19 pandemic, beginning in March 2020 nearly all secondary and undergraduate mathematics students were forced to adapt to new methods of learning and testing. As a result, the current experience for these mathematics students has changed vastly, as have the opinions and preferences of these students in terms of their learning. This study aims to identify instruction and testing resources and methods that students prefer and those that students find less beneficial in their current, post-pandemic educational experience. The past few years have seen a focus on the direct impacts of online learning during the pandemic, …
Counting Hamiltonian Cycles In Quartic Circulant Graphs,
2025
Pepperdine University
Counting Hamiltonian Cycles In Quartic Circulant Graphs, Allison Hilliard
Seaver College Research And Scholarly Achievement Symposium
We consider the problem of counting Hamiltonian cycles in circulant graphs $C_n^{1,k}$. Our method is to partition the set of Hamiltonian cycles according to their winding numbers. Then, we construct a weighted digraph that allows us to produce a generating function that counts the number of Hamiltonian cycles for each winding number. Summing these generating functions derives a formula for the total number of Hamiltonian cycles in a circulant graph with $n$ vertices.
Learning With Errors Parameter Analysis,
2025
William & Mary
Learning With Errors Parameter Analysis, Archana Parameswaran
Cybersecurity Undergraduate Research Showcase
We implement a systematic approach for generating, evaluating, and benchmarking Learning with Errors implementations in Sage Math by varying lattice dimensions, moduli, error standard deviations, and multiple error distributions to observe concrete security-efficiency tradeoffs. The security estimator maps parameter sets to concrete security levels and bits, while performance metrics measured computational efficiency and memory requirements. Results indicate that various distribution types do not significantly impact security, though binomial distributions require more computational overhead than discrete gaussian or uniform. Memory requirements increased when modulus q increased from 12289 to 65537. Larger dimensions have an exponentially growing requirement for memory, but this …
My Tunisia Encounters: Inspiration For Some Mathematical Ideas,
2025
Louisiana State University
My Tunisia Encounters: Inspiration For Some Mathematical Ideas, Hui-Hsiung Kuo
Journal of Stochastic Analysis
No abstract provided.
Gaussian Quantum Markov Semigroups In The Fock-Anti-Fock Representation Of Weyl Algebra,
2025
Mathematics Department, Politecnico di Milano, Piazza Leonardo da Vinci 32, I - 20133 Milano, Italy
Gaussian Quantum Markov Semigroups In The Fock-Anti-Fock Representation Of Weyl Algebra, A Dhahri, Franco Fagnola, D Poletti, Hyun Jae Yoo
Journal of Stochastic Analysis
No abstract provided.
The Importance Of Changing The High School Math Curriculum To Encourage More Students To Pursue A Degree In The Mathematics Field,
2025
Bryant University
The Importance Of Changing The High School Math Curriculum To Encourage More Students To Pursue A Degree In The Mathematics Field, Devin Cavicchi
Honors Projects in Mathematics and Economics
The mathematics field is a much larger field than many may think with mathematical analysis being involved in many jobs now, yet the need for more people to pursue mathematical careers and join the field is increasing daily. The focus of this thesis is to not only understand why some students are not inclined to pursue a degree in the mathematics field, but also to find methods to entice them to join the field. The literature researched demonstrated that experiences both in and out of the classroom have an impact on perception of the field, with the actual curriculum having …
Patterns Within The Collatz Conjecture,
2025
Fort Hays State Universitiy
Patterns Within The Collatz Conjecture, Kiel Harrison
SACAD: Scholarly Activities
The Collatz Conjecture, also known as 3n+1, one of the most famous unsolved problems in mathematics, has been forever out of reach of being truly solved. However, through the application of traces, there is now a new pathway forward to working out a potential solution. This study shows how this pathway was found, and what steps need to be taken to follow it.
Stochastic Analysis And White Noise Calculus Of Nonlinear Wave Equations With Application To Laser Generation And Propagation,
2025
National Academies/Air Force Research Laboratory
Stochastic Analysis And White Noise Calculus Of Nonlinear Wave Equations With Application To Laser Generation And Propagation, Sivaguru S. Sritharan, Saba Mudaliar
Journal of Stochastic Analysis
No abstract provided.
The Boltzmann-Enskog Equation With Brownian Forcing,
2025
Louisiana State University and Agricultural and Mechanical College
The Boltzmann-Enskog Equation With Brownian Forcing, Aurora Wallace
LSU Doctoral Dissertations
Interacting particle systems (IPS) are used to rigorously derive partial differential equations modeling macroscopic behavior given by systems of stochastic differential equa- tions in physics, biology, and other sciences. These systems model the time evolution of n interacting particles with desired dynamics. In the n-system studied here, only two parti- cles may interact at a time (binary collisions). The particles are exchangeable; that is, the ordering of the particles does not play a role, and the interaction between the ith particle and the jth particle models an elastic collision. In this thesis, we use the method of inter- acting particle …
An Operator Information Quantity Of A Semigroup And Associated Differential Equations,
2025
Department of Mathematics, Meijo University
An Operator Information Quantity Of A Semigroup And Associated Differential Equations, Kimiaki Saito, Ryo Inayoshi
Journal of Stochastic Analysis
No abstract provided.
The Product Formula Of Multiple Stochastic Integrals With Respect To The Poisson Space Noise,
2025
Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung, 811, TAIWAN
The Product Formula Of Multiple Stochastic Integrals With Respect To The Poisson Space Noise, Yuh-Jia Lee, Hsin-Hung Shih
Journal of Stochastic Analysis
No abstract provided.
American Option Pricing Using Generalised Stochastic Hybrid Systems,
2025
Institute of Stochastics, Johannes Kepler University Linz, 4040, Austria
American Option Pricing Using Generalised Stochastic Hybrid Systems, Evelyn Buckwar, Sascha Desmettre, Agnes Mallinger, Amira Meddah
Journal of Stochastic Analysis
No abstract provided.
About Fixed Points Of Quantum Channels,
2025
ipartimento di Matematica dell’Università di Pavia, via Ferrata 1, 27100 Pavia, Italy
About Fixed Points Of Quantum Channels, Raffaella Carbone
Journal of Stochastic Analysis
No abstract provided.
Subfitness In Distributive (Semi)Lattices,
2025
New Mexico State University
Subfitness In Distributive (Semi)Lattices, G. Bezhanishvili, J. Madden, M. A. Moshier, M. Tressl, Joanne Walters-Wayland
Mathematics, Physics, and Computer Science Faculty Articles and Research
We investigate whether the set of subfit elements of a distributive semilattice is an ideal. This question was raised by the second author at the BLAST conference in 2022. We show that in general it has a negative solution, however if the semilattice is a lattice, then the solution is positive. This is somewhat unexpected since, as we show, a semilattice is subfit if and only if so is its distributive lattice envelope.
Ornstein-Uhlenbeck Type Operators Induced By Some Geometric Structures On Complex Domains,
2025
Laboratory of Stochastic Analysis and Applications, Faculty of Sciences of Tunis, University of Tunis El-Manar, 1060 Tunis, Tunisia
Ornstein-Uhlenbeck Type Operators Induced By Some Geometric Structures On Complex Domains, Souheyl Jendoubu
Journal of Stochastic Analysis
No abstract provided.
Quantum Extensions Of The Exotic Laplacians And Associated Quantum Heat Semigroups,
2025
Universitá di Roma Tor Vergata, Via di Torvergata, Roma, Italy
Quantum Extensions Of The Exotic Laplacians And Associated Quantum Heat Semigroups, Luigi Accardi, Un Cig Ji, Kimiaki Saito
Journal of Stochastic Analysis
No abstract provided.
Preface,
2025
CIMA, Faculty of Exact Sciences and Engineering, University of Madeira, Campus da Penteada, 9020-105 Funchal, Madeira, Portugal
Preface, José Luis Da Silva, Un Cig Ji, Aurel Stan
Journal of Stochastic Analysis
No abstract provided.
