School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Submissions from 2022
The Inextricability of Students’ Mathematical and Physical Reasoning in Quantum Mechanics Problems, Kaitlyn Stephens Serbin and Megan Wawro
An integrable semidiscretization of the modified Camassa-Holm equation with linear dispersion term, Han-Han Sheng, Guo-Fu Yu, and Bao-Feng Feng
Ground state solutions for the fractional problems with dipole-type potential and critical exponent, Yu Su and Zhaosheng Feng
Online list coloring for signed graphs, Melissa Tupper and Jacob A. White
Networks of necessity: Simulating COVID-19 mitigation strategies for disabled people and their caregivers, Thomas E. Valles, Hannah Shoenhard, Joseph Zinski, Sarah Trick, Mason A. Porter, and Michael R. Lindstrom
Wave-breaking analysis and weak multi-peakon solutions for a generalized cubic–quintic Camassa–Holm type equation, Weifang Weng, Zhijun Qiao, and Zhenya Yan
Brooks' theorem for 2-fold coloring, Jacob A. White
Chromatic Quasisymmetric Class Functions of Linearized Combinatorial Hopf Monoids, Jacob A. White
On Equivariant flag f-vectors for balanced relative simplicial complexes, Jacob A. White
Multi-breather solutions to the Sasa-Satsuma equation, Chengfa Wu, Bo Wei, Changyan Shi, and Bao-Feng Feng
General rogue wave solutions to the Sasa-Satsuma equation, Chengfa Wu, Guangxiong Zhang, Changyan Shi, and Bao-Feng Feng
Impact of damping amplitude on chaos detection reliability of the improved 0–1 test for oversampled and noisy observations, Qintai Xiao, Yanan Liao, Wei Xu, Junchao Chen, and Hua Wang
Global in time self-interacting Dirac fields in the de Sitter space, Karen Yagdjian
Qualitative analysis for a two-component peakon system with cubic nonlinearity, Shaojie Yang and Zhijun Qiao
Preferential stiffness and the crack-tip fields of an elastic porous solid based on the density-dependent moduli model, Hyun C. Yoon, S. M. Mallikarjunaiah, and Dambaru Bhatta
Asymptotic Spreading for a Diffusive Chemostat System in Space-Time Periodic Environment, Shuo Zhang, Zhaosheng Feng, and Guo Lin
Definite Condition of the Evolutionary (p)over-right-arrow(x)-Laplacian Equation, Huashui Zhan and Zhaosheng Feng
Dynamical Analysis for a Malaria Transmission Model, Zhihong Zhao, Shaochun Li, and Zhaosheng Feng
Bi-Dbar-Approach for a Coupled Shifted Nonlocal Dispersionless System, Junyi Zhu, Kaiwen Shao, and Zhijun Qiao
Analytical properties for the fifth-order b-family Novikov model, Mingxuan Zhu, Zaihong Jiang, and Zhijun Qiao
Multiple Periodic Vibrations of Auxetic Honeycomb Sandwich Plate with 1:2 Internal Resonance, Shaotao Zhu, Jing Li, Zhijun Qiao, and Ji Zhou
Eigen's Paradox and the Quasispecies Model in a Non-Archimedean Framework, Wilson A. Zuniga-Galindo
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
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 M. 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
On Combinatorics of Voronoi Polytopes for Perturbations of the Dual Root Lattices, Alexey Garber
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
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
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
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 Campo Maldonado, Timothy Huber, and Cristina Villalobos
Nivelando el Campo Educativo [Leveling the Educational Field], Cristina Villalobos, Timothy Huber, Jose Ponce, and Josef A. Sifuentes
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
p-adic Cellular Neural Networks, B. A. Zambrano-Luna and Wilson A. Zuniga-Galindo
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
LOCAL WELL-POSEDNESS AND BLOW-UP FOR A FAMILY OF U(1)-INVARIANT PEAKON EQUATIONS, Stephen C. Anco, Huijun He, and Zhijun Qiao
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, M. Cristina Villalobos, and Stephen Wirkus