School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Explore our Open Access Publications to discover research freely available to the public.
You can also view All Research Publications by the department, including both open access and subscription-based work over the past 36 months.
Submissions from 2020
The role of the asymmetric Ekman dissipation term on the energetics of the two-layer quasi-geostrophic model, Eleftherios Gkioulekas
Contact graphs of ball packings, Alexey Glazyrin
Repeated Minimizers of $p$-Frame Energies, Alexey Glazyrin and Josiah Park
On persistence of superoscillations for Schrödinger equation with time-dependent quadratic Hamiltonians, Elijah Lee Hight, Jose Palacio, Tamer Oraby, and Erwin Suazo
Level 17 Ramanujan-Sato Series, Timothy Huber, Daniel Schultz, and Dongxi Ye
Energy Spectrum of Linear Internal Wave Field in the Vicinity of Continental Slope, Ranis N. Ibragimov, Austin Biondi, Nathan Arndt, Maria Castillo, Guang Lin, Vesselin Vatchev, and Sheng Zhang
Integer Versus Fractional Order SEIR Deterministic and Stochastic Models of Measles, Md Rafiul Islam, Angela Peace, Daniel Medina, and Tamer Oraby
Racial inequality in the trauma of women: A disproportionate decade, Shawn Izadi, Niral Patel, Demba Fofana, Anghela Z. Paredes, Samuel K. Snyder, Annelyn Torres-Reveron, and Jeffrey Skubic
Screening Potential Citrus Rootstocks for Phytophthora nicotianae Tolerance, Madhurababu Kunta, Sandy Chavez, Zenaida Viloria, Hilda S. del Rio, Madhavi Devanaboina, George Yanev, Jong-Won Park, and Eliezer S. Louzada
Subnormality of Powers of Multivariable Weighted Shifts, Sang Hoon Lee, Woo Young Lee, and Jasang Yoon
Qualitative features of a nonlinear, nonlocal, agent-based PDE model with applications to homelessness, Michael R. Lindstrom and Andrea L. Bertozzi
Functional Kernel Density Estimation: Point and Fourier Approaches to Time Series Anomaly Detection, Michael R. Lindstrom, Hyuntae Jung, and Denis Larocque
Schrödinger-Poisson systems with singular potential and critical exponent, Senli Liu, Haibo Chen, and Zhaosheng Feng
Surviving Mathematics, Nathalie M. Luna
Homotopy groups and quantitative Sperner-type lemma, Oleg R. Musin
Analysis of the Healthcare MERS-CoV Outbreak in King Abdulaziz Medical Center, Riyadh, Saudi Arabia, June–August 2015 Using a SEIR Ward Transmission Model, Tamer Oraby, Michael G. Tyshenko, Hanan H. Balkhy, Yasar Tasnif, Adriana Quiroz-Gaspar, Zeinab Mohamed, Ayesha Araya, Susie Elsaadany, Eman Al-Mazroa, Mohammed A. Alhelail, Yaseen M. Arabi, and Mustafa Al-Zoughool
Drug delivery in catheterized arterial blood flow with atherosclerosis, Saulo Orizaga, Daniel N. Riahi, and Jose R. Soto
HIV-Associated Neurocognitive Disorder (HAND) Biomarker Identification: Significance Analysis of Microarrays and Two Persuasive Approaches with Random Forest, Hansapani Rodrigo, Bryan Martinez, Roberto De La Garza, and Upal Roy
Geometric and Measure-Theoretic Shrinking Targets in Dynamical Systems, Joseph Rosenblatt and Mrinal Kanti Roychowdhury
Optimal Quantization Via Dynamics, Joseph Rosenblatt and Mrinal Kanti Roychowdhury
The quantization of the standard triadic Cantor distribution, Mrinal Kanti Roychowdhury
Topological Pressure and Fractal Dimensions of Cookie-Cutter-Like Sets, Mrinal Kanti Roychowdhury
Quantization for a Mixture of Uniform Distributions Associated with Probability Vectors, Mrinal Kanti Roychowdhury and Wasiela Salinas
Local Dimensions and Quantization Dimensions in Dynamical Systems, Mrinal Kanti Roychowdhury and Bilel Selmi
A study on Quantization Dimension in complete metric spaces, Mrinal Kanti Roychowdhury and S. Verma
Characterizing quantum physics students’ conceptual and procedural knowledge of the characteristic equation, Kaitlyn Stephens Serbin, Brigitte Johana Sánchez Robayo, Julia Victoria Truman, Kevin Lee Watson, and Megan Wawro
Invited article by M. Gidea Extreme events and emergency scales, Veniamin Smirnov, Zhuanzhuan Ma, and Dimitri Volchenkov
A Single-center Comparison Using Exoskeleton Rehabilitation for Cerebrovascular Accidents and Traumatic Brain Injury in a Cohort of Hispanic Patients, Lisa R. Trevino, Kristina Vatcheva, Michael E. Auer, Angela Morales, Lama M. Abdurrahman, Sarajova Viswamitra, and Annelyn Torres-Reveron
Mathematical modeling of nonlinear blood glucose-insulin dynamics with beta cells effect, Gabriela Urbina, Daniel N. Riahi, and Dambaru Bhatta
Sex and age differences in prevalence and risk factors for prediabetes in Mexican-Americans, Kristina Vatcheva, Belinda M. Reininger, Susan P. Fisher-Hoch, and Joseph B. Mccormick
Classification of radial solutions to equations related to Caffarelli–Kohn–Nirenberg inequalities, John Villavert
A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions, Gangwei Wang, Kaitong Yang, Haicheng Gu, Fei Guan, and A. H. Kara
Burnside chromatic polynomials of group-invariant graphs, Jacob A. White
On Cohen-Macaulay Hopf monoids in species, Jacob A. White
Learning to Leverage Obstacles, Resources, and Strategies in Math Classes With Multilingual Learners, Aaron T. Wilson, Hyung Won Kim, Mayra Ortiz Galarza, and Josef A. Sifuentes
An effective method to obtain contour of fisheye images based on explicit level set method, Xuegang Wu and Zhijun Qiao
Exponential and Hypoexponential Distributions: Some Characterizations, George Yanev
On Arnold–Villasenor conjectures for characterizaing exponential distribution based on sample of size three, George Yanev
Multiple positive solutions to the fractional Kirchhoff problem with critical indefinite nonlinearities, Jie Yang, Haibo Chen, and Zhaosheng Feng
Weighted Lp(⋅) -regularity for fully nonlinear parabolic equations, Junjie Zhang, Shenzhou Zheng, and Zhaosheng Feng
Existence and stability of the doubly nonlinear anisotropic parabolic equation, Huashui Zhan and Zhaosheng Feng
STABILITY OF ANISOTROPIC PARABOLIC EQUATIONS WITHOUT BOUNDARY CONDITIONS, Huashui Zhan and Zhaosheng Feng
Submissions from 2019
Joint spectra of spherical Aluthge transforms of commuting n-tuples of Hilbert space operators, Chafiq Benhida, Raul E. Curto, Sang Hoon Lee, and Jasang Yoon
The effect of Hispanic ethnicity on surgical outcomes: An analysis of the NSQIP database, Monica Betancourt-Garcia, Kristina Vatcheva, Prateek Gupta, Ricardo D. Martinez, Joseph B. McCormick, Susan P. Fisher-Hoch, and R. Armour Forse
Diabetes and Its Effect on Abdominal Aortic Aneurysm Growth Rate in Hispanic Patients, Monica Betancourt-Garcia, Kristina Vatcheva, Amrit Thakur, Prateek Gupta, Eugene Postevka, Ricardo Martinez, and R. Armour Forse
Metric geometry and the determination of the Bohmian quantum potential, Paul Bracken
On a Class of Parameter Dependent Series Generalizing Euler’s Constant, Paul Bracken
Properties of a class of mean dependent on a parameter, Paul Bracken
Shape Equations for Two-Dimensional Manifolds through a Moving Frame Variational Approach, Paul Bracken
The Generalized Weierstrass System in Three-Dimensional Euclidean Space, Paul Bracken
High-order rogue waves of a long-wave–short-wave model of Newell type, Jungchao Chen, Liangyuan Chen, Bao-Feng Feng, and Ken-ichi Maruno
Connections between Pre-service Teachers’ Mathematical Dispositions and Self-efficacy for Teaching Mathematics, Jasmine M. Cruz, Aaron T. Wilson, and Xiaohui Wang
Spherically Quasinormal Pairs of Commuting Operators, Raul E. Curto and Jasang Yoon
The Aluthge transform of unilateral weighted shifts and the Square Root Problem for finitely atomic measures, Raul E. Curto and Jasang Yoon
Investigation of Constant Volume and Constant Flux Initial Conditions on Bidensity Particle-Laden Slurries on an Incline, Dominic Diaz, Jessica Bojorque, Joshua Crasto, Margaret Koulikov, Tameez Lati, Aviva Prins, Andrew Shapiro, Clover Ye, David Arnold, and Michael R. Lindstrom
On the regularity radius of Delone sets in R3, Nikolay Dolbilin, Alexey Garber, Undine Leopold, and Egon Schulte
Multi‐breather and high‐order rogue waves for the nonlinear Schrödinger equation on the elliptic function background, Bao-Feng Feng, Liming Ling, and Daisuke A. Takahashi
Experimental Demonstration of Deterministic Chaos in a Waste Oil Biodiesel Semi-Industrial Furnace Combustion System, Shengyang Gao, Fashe Li, Qintai Xiao, Jianxin Xu, Huage Wang, and Hua Wang
Global existence and propagation speed for a generalized Camassa-Holm model with both dissipation and dispersion, Qiaoyi Hu and Zhijun Qiao
Attitudes toward Using and Teaching Confidence Intervals: A Latent Profile Analysis on Elementary Statistics Instructors, Hyung Won Kim, Woo Jin Kim, Aaron T. Wilson, and Ho Kyoung Ko
Taylor spectra and common invariant subspaces through the Duggal and generalized Aluthge transforms for commuting n -tuples of operators, Jaewoong Kim and Jasang Yoon
Blocks in the category of finite-dimensional representations of principal W-algebra for Q(2), Elena Poletaeva
“Diabesity” among Latinos: A Culturally Relevant Mathematics Activity by a Mathematics Teacher Candidate, Olga Ramirez and Cherie McCollough
Optimal quantization for the Cantor distribution generated by infinite similutudes, Mrinal Kanti Roychowdhury
Assessment of Gestational Diabetes Mellitus Outcomes for Hispanic Women Living in the Rio Grande Valley, Norma Somohano-Mendiola, Jane D. Champion, and Kristina Vatcheva
Statin Prescription for Patients With Atherosclerotic Cardiovascular Disease from National Survey Data, Kristina Vatcheva, Vicente Aparicio, Ayesha Araya, Eduardo Gonzalez, and Susan T. Laing
The near-peer mathematical mentoring cycle: studying the impact of outreach on high school students’ attitudes toward mathematics, Aaron T. Wilson and Sergey Grigorian
Fast equilibration dynamics of viscous particle-laden flow in an inclined channel, Jeffrey Wong, Michael R. Lindstrom, and Andrea L. Bertozzi
Solutions of evolutionary equation based on the anisotropic variable exponent Sobolev space, Huashui Zhan and Zhaosheng Feng
Submissions from 2018
Geometry labs united: An invitation, Jayadev Athreya, David Dumas, William Goldman, Sergey Grigorian, Rosemary Guzman, Philipp Hieronymi, Sean Lawton, Anton Lukyanenko, Jeremy Tyson, and Aaron T. Wilson
On the origin of crystallinity: a lower bound for the regularity radius of Delone sets, Igor A. Baburin, Mikhail M. Bouniaev, Nikolay Dolbilin, Nikolay Yu. Erokhovets, Alexey Garber, Sergey V. Krivovichev, and Egon Schulte
Linear Stability Analysis with Solution Patterns due to Varying Thermal Diffusivity for a Convective Flow in a Porous Medium, Dambaru Bhatta
Solution of mathematical model for gas solubility using fractional-order Bhatti polynomials, Muhammad I. Bhatti, Paul Bracken, Nicholas Dimakis, and Armando Herrera
The Local Theory for Regular Systems in the Context of t-Bonded Sets, Mikhail M. Bouniaev and Nikolay Dolbilin
A Formulation of L-Isothermic Surfaces in Three-Dimensional Minkowski Space, Paul Bracken
Cartan frames and algebras with links to integrable systems differential equations and surfaces, Paul Bracken
Aluthge Transforms of 2-Variable Weighted Shifts, Raul E. Curto and Jasang Yoon
Using restrictions to accept or reject solutions of radical equations, Eleftherios Gkioulekas
Covering a Ball by Smaller Balls, Alexey Glazyrin
Series for 1/π of level 20, Timothy Huber, Daniel Schultz, and Dongxi Ye
The Development of Secondary Mathematics Teachers’ Pedagogical Identities in the Social Context of Classroom Interactions, Hyung Won Kim
A new characterization of subnormality for a class of 2-variable weighted shifts with 1-atomic core, Jaewoong Kim and Jasang Yoon
Analogs of Steiner’s porism and Soddy’s hexlet in higher dimensions via spherical codes, Oleg R. Musin
Optimal quantizers for some absolutely continuous probability measures, Mrinal Kanti Roychowdhury
Non-Stationary Platform Inverse Synthetic Aperture Radar Maneuvering Target Imaging Based on Phase Retrieval, Hongyin Shi, Saixue Xia, Qi Qin, Ting Yang, and Zhijun Qiao
ISAR Autofocus Imaging Algorithm for Maneuvering Targets Based on Phase Retrieval and Gabor Wavelet Transform, Hongyin Shi, Ting Yang, and Zhijun Qiao
PRECONDITIONING METHODS FOR THIN SCATTERING STRUCTURES BASED ON ASYMPTOTIC RESULTS, Josef A. Sifuentes and Shari Moskow
Teacher Knowledge and Teaching Practices in Linguistically Diverse Classrooms, M. Alejandra Sorto, Aaron T. Wilson, and Alexander White
Exchanging deficit for affordance: Developing preservice teachers’ capacity to see emergent bilingual students’ resources, Aaron T. Wilson, Hyung Won Kim, and M. Alejandra Sorto
College instructors’ attitudes toward confidence intervals, Hyung Won Kim, Aaron T. Wilson, and Ho Kyoung Ko
Traveling wave solutions of a nonlocal dispersal predator–prey model with spatiotemporal delay, Zhihong Zhao, Rui Li, Xiangkui Zhao, and Zhaosheng Feng
Submissions from 2017
Using Technology to Determine Factorability or Non-factorability of Quadratic Algebraic Trinomials, John E. T. Bernard, Olga Ramirez, and Cristina Villalobos
Convective Flow in an Aquifer Layer, Dambaru Bhatta and Daniel N. Riahi
A class of transformations of a quadratic integral generating dynamical systems, Paul Bracken
A geometric formulation of Lax integrability for nonlinear equationsin two independent variables, Paul Bracken
An Intrinsic Characterization of Bonnet Surfaces Based on a Closed Differential Ideal, Paul Bracken
An Introduction to Ricci Flow for Two-Dimensional Manifolds, Paul Bracken
Applications of the lichnerowicz Laplacian to stress energy tensors, Paul Bracken
Spectral Theory of Operators on Manifolds, Paul Bracken
Yang Mills Theories, Paul Bracken
