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 2022
Non-Archimedean quantum mechanics via quantum groups, Wilson A. Zuniga-Galindo
Non-Archimedean Statistical Field Theory, Wilson A. Zuniga-Galindo
p-Adic analysis: A quick introduction, Wilson A. Zuniga-Galindo
Ultrametric Diffusion, Rugged Energy Landscapes and Transition Networks, Wilson A. Zuniga-Galindo
Submissions from 2021
Early ambulatory outpatient sequenced antiviral multidrug COVID-19 treatment (including for Delta or similar variants) for high-risk children and adolescents, Paul Elias Alexander, Howard C. Tenenbaum, Harvey Risch, Richard Urso, Craig M. Wax, Holly Jonely, Ramin Oskoui, Russell Gonnering, Roger G. Hodkinson, and Eleftherios Gkioulekas
Local well-posedness and blow-up for a family of U(1)-invariant peakon equations, Stephen C. Anco, Huijun He, and Zhijun Qiao
Energy on spheres and discreteness of minimizing measures, Dmitriy Bilyk, Alexey Glazyrin, Ryan Matzke, Josiah Park, and Oleksandr Vlasiuk
Local Zeta Functions and Koba–Nielsen String Amplitudes, Miriam Bocardo-Gaspar, Hugo García-Compeán, Edgar Y. López, and Wilson A. Zúñiga-Galindo
An Introduction to Generalized Entropy and Some Quantum Applications, Paul Bracken
Behavior of entanglement entropy near periodic orbits in a hamiltonian dynamical system, Paul Bracken
Stability of peakons and periodic peakons for a nonlinear quartic Camassa-Holm equation, Aiyong Chen, Tongjie Deng, and Zhijun Qiao
General bright and dark soliton solutions to the massive Thirring model via KP hierarchy reductions, Junchao Chen and Bao-Feng Feng
Design of a stand-alone energy hybrid system for a makeshift health care center: A case study, Tamal Chowdhury, Hemal Chowdhury, Samiul Hasan, Md Salman Rahman, M. M. K. Bhuiya, and Piyal Chowdhury
Estimation of the Healthcare Waste Generation During COVID-19 Pandemic in Bangladesh, Tamal Chowdhury, Hemal Chowdhury, Md Salman Rahman, Nazia Hossain, Ashfaq Ahmed, and Sadiq M. Sait
Polynomial Embeddings of Unilateral Weighted shifts in 2-Variable Weighted Shifts, Raul E. Curto, Sang H. Lee, and Jasang Yoon
An Algorithm to Compute CVTs for Finitely Generated Cantor Distributions, Carl P. Dettmann and Mrinal Kanti Roychowdhury
Positive solutions for the fractional Schrödinger equations with logarithmic and critical non-linearities, Haining Fan, Zhaosheng Feng, and Xingjie Yan
Latinx Students’ Mathematics Anxiety and Their Study Habits: Exploring Their Relationship at the Postsecondary Level, Luis M. Fernandez, Xiaohui Wang, Olga Ramirez, and Cristina Villalobos
Combining assumptions and graphical network into gene expression data analysis, Demba Fofana, E. O. George, and Dale Brown
Instructor Communication, or Academic Coaching, to Facilitate Student Engagement, Tracia M. Forman and Kristina Vatcheva
Hexagon tilings of the plane that are not edge-to-edge, D. Frettlöh, Alexey Glazyrin, and Z. Lángi
Hexagon tilings of the plane that are not edge-to-edge, Dirk Frettlöh, Alexey Glazyrin, and Z. Lángi
Eigenvalues and Eigenfunctions of a Schrödinger Operator Associated with a Finite Combination of Dirac-Delta Functions and CH Peakons, Shouzhong Fu, Zhijun Qiao, and Zhong Wang
Combined Amplification and Sound Therapy for Individuals With Tinnitus and Coexisting Hearing Loss: A Retrospective Cohort Study, Purushothaman Ganesan, Hansapani Rodrigo, Jason Schmiedge, Rob Reiter, Simham Swapna, and Vinaya Manchaiah
Continuous-time controlled branching processes, Ines Garcia, George Yanev, Manuel Molina, Nikolay Yanev, and Miguel Velasco
Covering by homothets and illuminating convex bodies, Alexey Glazyrin
Domes over Curves, Alexey Glazyrin and Igor Pak
Controlled Branching Processes with Continuous Time, Miguel Gonzalez, Manuel Molina, Ines Del Puerto, Nikolay Yanev, and George Yanev
Isometric Flows of G 2-structures, Sergey Grigorian
Smooth loops and loop bundles, Sergey Grigorian
Quantization coefficients for uniform distributions on the boundaries of regular polygons, Joel Hansen, Itzamar Marquez, Mrinal Kanti Roychowdhury, and Eduardo Torres
Arithmetic properties of septic partition functions, Timothy Huber, Mayra Huerta, and Nathaniel Mayes
Ramanujan type congruences for quotients of level 7 Klein forms, Timothy Huber and Dongxi Ye
Visualization of Exact Invariant Solutions Associated with Atmospheric Waves in a Thin Circular Layer, Ranis N. Ibragimov, Lauren D. Mongrain, Benjamin Stimmel, Olga Trozkaya, Guang Lin, Sheng Zhang, Vesselin Vatchev, and Daniel Stankiewicz
CORRELATION BETWEEN NO-SLIP AND SLIP BOUNDARY CONDITIONS ASSOCIATED WITH A TWO-DIMENSIONAL NAVIER-STOKES FLOWS IN A PLANE DIFFUSER, Ranis Ibragimov and Vesselin Vatchev
Evaluation of the United States COVID-19 vaccine allocation strategy, Md Rafiul Islam, Tamer Oraby, Audrey McCombs, Mohammad Mihrab Chowdhury, Mohammad Al-Mamun, Michael G. Tyshenko, and Claus KadelkaI
Mitigating the externality of diseases of poverty through health aid, Kamal Jnawali, Michael G. Tyshenko, and Tamer Oraby
From reaction kinetics to dementia: A simple dimer model of Alzheimer’s disease etiology, Michael R. Lindstrom, Manuel B. Chavez, Elijah A. Gross-Sable, Eric Y. Hayden, and David B. Teplow
Globally conservative solutions for the modified Camassa–Holm (MOCH) equation, Zhaonan Luo, Zhijun Qiao, and Zhaoyang Yin
Existence results for nonlinear Schrodinger equations involving the fractional (p, q)-Laplacian and critical nonlinearities, Huilin Lv, Shenzhou Zheng, and Zhaosheng Feng
Modeling the effect of lockdown timing as a COVID‑19 control measure in countries with differing social contacts, Tamer Oraby, Michael G. Tyshenko, Jose Campo Maldonado, Kristina Vatcheva, Susie Elsaadany, Walid Q. Alali, Joseph C. Longenecker, and Mustafa Al‑Zoughool
Quantization for Uniform Distributions on Hexagonal, Semicircular, and Elliptical Curves, Gabriela Pena, Hansapani Rodrigo, Mrinal Kanti Roychowdhury, Josef A. Sifuentes, and Erwin Suazo
A multilayer network model of the coevolution of the spread of a disease and competing opinions, Kaiyan Peng, Zheng Lu, Vanessa Lin, Michael R. Lindstrom, Christian Parkinson, Chuntian Wang, Andrea L. Bertozzi, and Mason A. Porter
Pseudo-peakons and Cauchy analysis for an integrable fifth-order equation of Camassa-Holm type, Enrique G. Reyes, Mingxuan Zhu, and Zhijun Qiao
Exploratory Data Mining Techniques (Decision Tree Models) for Examining the Impact of Internet-Based Cognitive Behavioral Therapy for Tinnitus: Machine Learning Approach, Hansapani Rodrigo, Eldré W. Beukes, Gerhard Andersson, and Vinaya Manchaiah
Internet-based cognitive–behavioural therapy for tinnitus: secondary analysis to examine predictors of outcomes, Hansapani Rodrigo, Eldré W. Beukes, Gerhard Andersson, and Vinaya Manchaiah
Negative Order KdV Equation with No Solitary Traveling Waves, Miguel Rodriguez, Jing Li, and Zhijun Qiao
Optimal quantization for mixed distributions, Mrinal Kanti Roychowdhury
Characterizations of student, instructor, and textbook discourse related to basis and change of basis in quantum mechanics, Kaitlyn Stephens Serbin, Megan Wawro, and Rebecah Storms
Extreme Events and Emergency Scales, Veniamin Smirnov, Zhuanzhuan Ma, and Dimitri Volchenkov
CMMSE on explicit and numerical solutions for stochastic PDEs: Fisher and Burgers equations, Erwin Suazo, Tamer Oraby, and Jose Palacio
Lions-type theorem of the p-Laplacian and applications, Yu Su and Zhaosheng Feng
Social and Health Risk Factor Levels of Preschool Children Living Along the Texas-Mexico Border, Roberto Treviño-Peña, Xiaohui Wang, Lin Wang, Zasha Romero, Elizabeth Alanis, and Huimin Li
Analysis of intervention effectiveness using early outbreak transmission dynamics to guide future pandemic management and decision-making in Kuwait, Michael G. Tyshenko, Tamer Oraby, Joseph C. Longenecker, Harri Vainio, Janvier Gasana, Walid Q. Alali, Mohammad AlSeaidan, Susie ElSaadany, and Mustafa Al-Zoughool
Social distancing and testing as optimal strategies against the spread of COVID-19 in the Rio Grande Valley of Texas, Kristina P. Vatcheva, Josef A. Sifuentes, Tamer Oraby, Jose E. Campo Maldonado, Timothy Huber, and Cristina Villalobos
Coordinating STEM Core Courses for Student Success, Cristina Villalobos, Hyung Won Kim, Timothy J. Huber, Roger Knobel, Shaghayegh Setayesh, Lekshmi Sasidharan, Anahit Galstyan, and Andras Balogh
On problems with weighted elliptic operator and general growth nonlinearities, John Villavert
Chromatic Quasisymmetric Class Functions for combinatorial Hopf monoids, Jacob A. White
The Chromatic Quasisymmetric Class Function of a Digraph, Jacob A. White
Huygens' principle for the generalized Dirac operator in curved spacetime, Karen Yagdjian
Fundamental solutions for the Dirac equation in curved spacetime and generalized Euler-Poisson-Darboux equation, Karen Yagdjian and Anahit Galstian
A New Five-Dimensional Hyperchaotic System with Six Coexisting Attractors, Jiaopeng Yang, Zhaosheng Feng, and Zhengrong Liu
Road network detection based on improved FLICM-MRF method using high resolution SAR images, Lamei Zhang, Chenwei Jiang, Bin Zou, and Zhijun Qiao
Global-in-time solvability and blow-up for a non-isospectral two-component cubic Camassa-Holm system in a critical Besov space, Lei Zhang and Zhijun Qiao
Traveling wave phenomena in a nonlocal dispersal predator-prey system with the Beddington-DeAngelis functional response and harvesting, Zhihong Zhao, Yan Li, and Zhaosheng Feng
A note on “traveling wave solutions of a nonlocal dispersal predator–prey model with spatiotemporal delay” [Z. Angew. Math. Phys. (2018) 69:146], Zhihong Zhao, Xiangkui Zhao, and Zhaosheng Feng
Analytical Properties for the Fifth Order Camassa-Holm (FOCH) Model, Mingxuan Zhu, Lu Cao, Zaihong Jiang, and Zhijun Qiao
A high-precision SAR echo simulation method based on FDTD, Bin Zou, Yanqiu Jia, and Zhijun Qiao
Non-Archimedean Models of Morphogenesis, Wilson A. Zuniga-Galindo
Submissions from 2020
Effect of Hydraulic Resistivity on a Weakly Nonlinear Thermal Flow in a Porous Layer, Dambaru Bhatta and Daniel N. Riahi
Tilings by hexagonal prisms and embeddings into primitive cubic networks, Mikhail M. Bouniaev, Nikolay Dolbilin, and Mikhail I. Shtogrin
Embedding parallelohedra into primitive cubic networks and structural automata description, Mikhail M. Bouniaev and Sergey V. Krivovichev
Cartan’s Approach to Second Order Ordinary Differential Equations, Paul Bracken
Classical and Quantum Integrability: A Formulation That Admits Quantum Chaos, Paul Bracken
Delaunay surfaces expressed in terms of a Cartan moving frame, Paul Bracken
Entropy in Quantum Mechanics and Applications to Nonequilibrium Thermodynamics, Paul Bracken
Introductory Chapter: Dynamical Symmetries and Quantum Chaos, Paul Bracken
OPTIMAL QUANTIZATION FOR DISCRETE DISTRIBUTIONS, Russel Cabasag, Samir Huq, Eric Mendoza, and Mrinal Kanti Roychowdhury
Optimal control with MANF treatment of photoreceptor degeneration, Erika T. Camacho, Suzanne Lenhart, Luis A. Melara, Cristina Villalobos, and Stephen Wirkus
Quasinormality of powers of commuting pairs of bounded operators, Raul E. Curto, Sang H. Lee, and Jasang Yoon
Periodic triangulations of Zn, Mathieu Dutour Sikiric and Alexey Garber
On the Voronoi Conjecture for Combinatorially Voronoi Parallelohedra in Dimension 5, Mathieu Dutour Sikiric, Alexey Garber, and Alexander Magazinov
Exact and numerical solution of stochastic Burgers equations with variable coefficients, Stephanie Flores, Elijah Lee Hight, Everardo Olivares-Vargas, Tamer Oraby, Jose Palacio, Erwin Suazo, and Jasang Yoon
Finite lifespan of solutions of the semilinear wave equation in the Einstein–de Sitter spacetime, Anahit Galstian and Karen Yagdjian
The global existence of small self-interacting scalar field propagating in the contracting universe, Anahit Galstian and Karen Yagdjian
CONCRETE POLYTOPES MAY NOT TILE THE SPACE, Alexey Garber and Igor Pak
Association of Visceral Adipose Tissue and Subclinical Atherosclerosis in US-Born Mexican Americans but not First Generation Immigrants, Clarence Gill, Miryoung Lee, Kristina Vatcheva, Nahid Rianon, Beverly Smulevitz, David D. McPherson, Joseph B. Mccormick, Susan P. Fisher-Hoch, and Susan T. Laing
Solving parametric radical equations with depth 2 rigorously using the restriction set method, Eleftherios Gkioulekas
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
