# School of Mathematical and Statistical Sciences Faculty Publications and Presentations

### Submissions from 2020

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

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

VORONOI CONJECTURE FOR FIVE-DIMENSIONAL PARALLELOHEDRA, Alexey Garber and Alexander Magazinov

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

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

Solutions of evolutionary equation based on the anisotropic variable exponent Sobolev space, Huashui Zhan and Zhaosheng Feng

### Submissions from 2018

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

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

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

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

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

Quantization for Uniform Distributions on Equilateral Triangles, Carl P. Dettmann and Mrinal Kanti Roychowdhury

Frequency of Nonalcoholic Fatty Liver Disease and Subclinical Atherosclerosis Among Young Mexican Americans, Clarence Gill, Kristina Vatcheva, Jen-Jung Pan, Beverly Smulevitz, David D. McPherson, Michael Fallon, Joseph B. McCormick, Susan P. Fisher-Hoch, and Susan T. Laing

On the denesting of nested square roots, Eleftherios Gkioulekas

Weierstrass Interpolation of Hecke Eisenstein Series, Timothy Huber and Matthew Levine

Multi-Type Branching Processes Modeling of Nosocomial Epidemics, Zeinab Mohamed and Tamer Oraby

Cybersecurity: Time Series Predictive Modeling of Vulnerabilities of Desktop Operating System Using Linear and Non-Linear Approach, Nawa Raj Pokhrel, Hansapani Rodrigo, and Chris P. Tsokos

On the finite W-algebra for the Lie superalgebra Q(N) in the non-regular case, Elena Poletaeva and Vera Serganova

A Refined Approach for Non-Negative Entire Solutions of Δ u + up = 0 with Subcritical Sobolev Growth, John Villavert

Solutions of evolutionary p(x)p(x) -Laplacian equation based on the weighted variable exponent space, Huashui Zhan and Zhaosheng Feng

### Submissions from 2016

Geometrical Problems Related to Crystals, Fullerenes, and Nanoparticle Structure, Mikhail M. Bouniaev, Nikolay Dolbilin, Oleg R. Musin, and Alexey S. Tarasov

An Application of the Spectral Theorem To The Laplacian on a Riemannian Manifold, Paul Bracken

Harmonic Maps Surfaces and Relativistic Strings, Paul Bracken

Quantum Dynamics, Entropy and Quantum Versions of Maxwell’s Demon, Paul Bracken

A polyhedral model of partitions with bounded differences and a bijective proof of a theorem of Andrews, Beck, and Robbins, Felix Breuer and Brandt Kronholm

The complete classification of five-dimensional Dirichlet–Voronoi polyhedra of translational lattices, Mathieu Dutour Sikiric, Alexey Garber, Achill Schürmann, and Clara Waldmann

The Voronoi functional is maximized by the Delaunay triangulation in the plane, Herbert Edelsbrunner, Alexey Glazyrin, Oleg R. Musin, and Anton Nikitenko

Liver and other Gastrointestinal Cancers are frequent in Mexican Americans, Ariana L. Garza, Kristina Vatcheva, Jen-Jung Pan, Mohammad H. Rahbar, Michael Fallon, Joseph B. McCormick, and Susan P. Fisher-Hoch

Multilocality and fusion rules on the generalized structure functions in two-dimensional and three-dimensional Navier-Stokes turbulence, Eleftherios Gkioulekas

Generalized reciprocal identities, Timothy Huber and Daniel Schultz

STABILITY ANALYSIS AND HOPF BIFURCATION OF DENSITY-DEPENDENT PREDATOR-PREY SYSTEMS WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE, Xin Jiang, Zhikun She, and Zhaosheng Feng

Cirrhosis and Advanced Fibrosis in Hispanics in Texas: The Dominant Contribution of Central Obesity, Jingjing Jiao, Gordon P. Watt, MinJae Lee, Mohammad H. Rahbar, Kristina Vatcheva, Jen-Jung Pan, Joseph B. McCormick, Susan P. Fisher-Hoch, Michael Fallon, and Laura Beretta

Student Understanding of Symbols in Introductory Statistics Courses, Hyung Won Kim, Tim Fukawa-Connelly, and Samuel A. Cook

Existence of positive solutions to semilinear elliptic systems with supercritical growth, Congming Li and John Villavert

Generalizations of Tucker–Fan–Shashkin Lemmas, Oleg R. Musin

KKM type theorems with boundary conditions, Oleg R. Musin

Depression in Mexican Americans with Diagnosed and Undiagnosed Diabetes, Rene L. Olvera, Susan P. Fisher-Hoch, Douglas E. Williamson, Kristina Vatcheva, and Joseph B. McCormick

Expert elicitation on the uncertainties associated with chronic wasting disease, Michael G. Tyshenko, Tamer Oraby, Shalu Darshan, Margit Westphal, Maxine C. Croteau, Willy Aspinall, Susie Elsaadany, Daniel Krewski, and Neil Cashman

Multicollinearity in Regression Analyses Conducted in Epidemiologic Studies, Kristina Vatcheva, MinJae Lee, Joseph B. Mccormick, and Mohammad H. Rahbar

The Effect of Ignoring Statistical Interactions in Regression Analyses Conducted in Epidemiologic Studies: An Example with Survival Analysis Using Cox Proportional Hazards Regression Model, Kristina Vatcheva, Joseph B. Mccormick, and Mohammad H. Rahbar

Variable Moving Average Transform Stitching Waves, Vesselin Vatchev

Asymptotic and optimal Liouville properties for Wolff type integral systems, John Villavert

Riemann-Hilbert approach for the FQXL model: A generalized Camassa-Holm equation with cubic and quadratic nonlinearity, Zhen Wang and Zhijun Qiao

Hepatitis C Virus in Mexican Americans: a population-based study reveals relatively high prevalence and negative association with diabetes, Gordon P. Watt, Kristina Vatcheva, Laura Beretta, Jen-Jung Pan, Michael Fallon, Joseph B. McCormick, and Susan P. Fisher-Hoch

The Precarious Health of Young Mexican American Men in South Texas, Cameron County Hispanic Cohort, 2004–2015, Gordon P. Watt, Kristina Vatcheva, Derek M. Griffith, Belinda M. Reininger, Laura Beretta, Michael Fallon, Joseph B. McCormick, and Susan P. Fisher-Hoch

EXISTENCE AND BEHAVIOR OF POSITIVE SOLUTIONS TO ELLIPTIC SYSTEM WITH HARDY POTENTIAL, Lei Wei, Xiyou Cheng, and Zhaosheng Feng

Metabolic Health Has Greater Impact on Diabetes than Simple Overweight/Obesity in Mexican Americans, Shenghui Wu, Susan P. Fisher-Hoch, Belinda M. Reininger, Kristina Vatcheva, and Joseph B. McCormick

### Submissions from 2015

An Application of Prolongation Algebras to Determine Bäcklund Transformations for Nonlinear Equations, Paul Bracken

Connections of zero curvature and Bäcklund transformations, Paul Bracken

Schrödinger Equation for a Particle on a Curved Space and Superintegrability, Paul Bracken

Some Results for the Hodge Decomposition Theorem in Euclidean Three-Space, Paul Bracken

Undiagnosed Diabetes and Pre-Diabetes in Health Disparities, Susan P. Fisher-Hoch, Kristina Vatcheva, Mohammad H. Rahbar, and Joseph B. McCormick

Symmetries of monocoronal tilings, Dirk Frettlöh and Alexey Garber

Subclinical Atherosclerosis and Obesity Phenotypes Among Mexican Americans, Susan T. Laing, Beverly Smulevitz, Kristina Vatcheva, Mohammad H. Rahbar, Belinda M. Reininger, David D. McPherson, Joseph B. McCormick, and Susan P. Fisher-Hoch

Barriers to disaster preparedness among medical special needs populations, Leslie Meyer, Kristina Vatcheva, Stephanie Castellanos, and Belinda M. Reininger

Quantization coefficients in infinite systems, Eugen Mihailescu and Mrinal Kanti Roychowdhury

Use of Cubic B-Spline in Approximating Solutions of Boundary Value Problems, Maria Mungia and Dambaru Bhatta

Optimal Packings of Congruent Circles on a Square Flat Torus, Oleg R. Musin and Anton Nikitenko

Depression, Obesity, and Metabolic Syndrome: Prevalence and Risks of Comorbidity in a Population-Based Study of Mexican Americans, Rene L. Olvera, Douglas E. Williamson, Susan P. Fisher-Hoch, Kristina Vatcheva, and Joseph B. McCormick

Bounded rationality alters the dynamics of paediatric immunization acceptance, Tamer Oraby and Chris T. Bauch

Non-communicable diseases and preventive health behaviors: a comparison of Hispanics nationally and those living along the US-Mexico border, Belinda M. Reininger, Jing Wang, Susan P. Fisher-Hoch, Alycia Boutte, Kristina Vatcheva, and Joseph B. Mccormick

Association of Total and Differential White Blood Cell Counts to Development of Type 2 Diabetes in Mexican Americans in Cameron County Hispanic Cohort, Kristina Vatcheva, Susan P. Fisher-Hoch, Mohammad H. Rahbar, MinJae Lee, Rene L. Olvera, and Joseph B. McCormick

Critical Controlled Branching Processes And Their Relatives, George Yanev