School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Submissions from 2017
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
Assessment of the effects of azimuthal mode number perturbations upon the implosion processes of fluids in cylinders, Michael R. Lindstrom
Electric ion dispersion as a new type of mass spectrometer, Michael R. Lindstrom, Iain Moyles, and Kevin Ryczko
A comparison of Fick and Maxwell–Stefan diffusion formulations in PEMFC gas diffusion layers, Michael R. Lindstrom and Brian Wetton
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
From Exam to Education: The Math Exam/Education Resources, Carmen Bruni, Christina Koch, Bernhard Konrad, Michael R. Lindstrom, Iain Moyles, and Will Thompson
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
Effect of Surface Roughness on the Magnetic Field Profile in the Meissner State of a Superconductor, Michael R. Lindstrom, Alex C. Y. Fang, and Robert F. Kiefl
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
Asymptotic Analysis of a Magnetized Target Fusion Reactor, Michael R. Lindstrom
Investigation into Fusion Feasibility of a Magnetized Target Fusion Reactor: A Preliminary Numerical Framework, Michael R. Lindstrom, Sandra Barsky, and Brian Wetton
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
Submissions from 2014
On cubic multisections of Eisenstein series, Andrew Alaniz and Timothy Huber
Solution of Fractional Harmonic Oscillator in a Fractional B-poly Basis, Muhammad I. Bhatti
Lessons Learned in Establishing STEM Student Cohorts at a Border University and the Effect on Student Retention and Success, Mikhail M. Bouniaev, Immanuel Edinbarough, and Bill W. Elliott
Connections of zero curvature and applications to nonlinear partial differential equations, Paul Bracken
Limit distributions of random walks on stochastic matrices, Santanu Chakraborty and Arunava Mukherjea
Ill-posedness of the two-dimensional Keller-Segel model in Triebel-Lizorkin spaces, Chao Deng and John Villavert
Energy and potential enstrophy flux constraints in quasi-geostrophic models, Eleftherios Gkioulekas
A theory of theta functions to the quintic base, Timothy Huber
Differential equations for septic theta functions, Timothy Huber and Danny Lara
Reconstruction of Structured Quadratic Pencils from Eigenvalues on Ellipses and Parabolas, R. Ibragimov and Vesselin Vatchev
Assessing the optimal virulence of malaria‐targeting mosquito pathogens: a mathematical study of engineered Metarhizium anisopliae, Bernhard Konrad, Michael R. Lindstrom, Anja Gumpinger, Jielin Zhu, and Daniel Coombs
Mathematical modelling of the effect of surface roughness on magnetic field profiles in type II superconductors, Michael R. Lindstrom, Brian Wetton, and Rob Kiefl
Quantization dimension for Gibbs-like measures on cookie-cutter sets, Mrinal Kanti Roychowdhury
Anxiety, depression and smoking status among adults of Mexican heritage on the Texas-Mexico Border, Anna V. Wilkinson, Kristina Vatcheva, Adriana Pérez, Belinda M. Reininger, Joseph B. McCormick, and Susan P. Fisher-Hoch
Illustrations and supporting texts for sound standing waves of air columns in pipes in introductory physics textbooks, Liang Zeng, Chris Smith, G. Herold Poelzer, Jennifer Rodriguez, Edgar Corpuz, and George Yanev
Gradient-based compressive sensing for noise image and video reconstruction, Huihuang Zhao, Yaonan Wang, Xiaojiang Peng, and Zhijun Qiao
Submissions from 2013
On Characterizations of Exponential Distribution through Order Statistics and Record Values with Random Shifts, M. Ahsanullah, Imtiyaz A. Shah, and George Yanev
Hydro-thermal convective solutions for an aquifer system heated from below, Dambaru Bhatta
Analytic matrix elements of the Schrödinger equation, Muhammad I. Bhatti
A Note on the Fundamental Solution of the Heat Operator on Forms, Paul Bracken
The Schwinger Action Principle and Its Applications to Quantum Mechanics, Paul Bracken
Optimal Control in the Treatment of Retinitis Pigmentosa, Erika T. Camacho, Luis A. Melara, Cristina Villalobos, and Stephen Wirkus
Parameterizations for quintic Eisenstein series, Richard Charles, Timothy Huber, and Andoni Mendoza
The Two-Phase Arterial Blood Flow with or without a Catheter and in the Presence of a Single or Multi Stenosis, Ani E. Garcia and Daniel N. Riahi
Generalized local test for local extrema in single-variable functions, Eleftherios Gkioulekas
On equivalent characterizations of convexity of functions, Eleftherios Gkioulekas
Zero-bounded limits as a special case of the squeeze theorem for evaluating single-variable and multivariable limits, Eleftherios Gkioulekas
Algebro-geometric Solutions for the Degasperis--Procesi Hierarchy, Yu Hou, Peng Zhao, Engui Fan, and Zhijun Qiao
Peakon, pseudo-peakon, and cuspon solutions for two generalized Camassa- Holm equations, Jibin Li and Zhijun Qiao
Mexican-American Children's Perspectives: Neighborhood Characteristics and Physical Activity in Texas-Mexico Border Colonias, Nelda Mier, Chanam Lee, Matthew Lee Smith, Xiaohui Wang, Elias H. Avila-Rodriguez, Laura Trevino, and Marcia G. Ory
Quantization Dimension Estimate for Condensation Systems of Conformal Mappings, Mrinal Kanti Roychowdhury
Ethnic differences in 25-hydroxyvitamin D levels and response to treatment in CKD, Iris Sanchez, Roberto Mangoo-Karim, Jason R. Stubbs, George Yanev, and James B. Wetmore
Characterizations of Exponential Distribution Based On Sample of Size Three, George Yanev and Santanu Chakraborty
Submissions from 2012
Characterizations of Logistic Distribution Through Order Statistics with Independent Exponential Shifts, M. Ahsanullah, George Yanev, and Constantin Onica
Geometry of Partial Differential Equations, Paul Bracken
Quantum Mechanics Entropy and a Quantum Version of the H-Theorem, Paul Bracken
Missed opportunities for diagnosis and treatment of diabetes, hypertension, and hypercholesterolemia in a Mexican American population, Cameron County Hispanic Cohort, 2003-2008, Susan P. Fisher-Hoch, Kristina Vatcheva, Susan T. Laing, Monir Hossain, M Hossein Rahbar, Craig Hanis, H Shelton Brown, Anne R. Rentfro, Belinda M. Reininger, and Joseph B. Mccormick
The effect of asymmetric large-scale dissipation on energy and potential enstrophy injection in two-layer quasi-geostrophic turbulence, Eleftherios Gkioulekas
On quintic Eisenstein series and points of order five of the Weierstrass elliptic functions, Timothy Huber
High prevalence of subclinical atherosclerosis by carotid ultrasound among Mexican Americans: discordance with 10-year risk assessment using the Framingham risk score, Susan T. Laing, Beverly Smulevitz, Kristina Vatcheva, Anne R. Rentfro, David D. McPherson, Susan P. Fisher-Hoch, and Joseph B. McCormick
The Strong Thirteen Spheres Problem, Oleg R. Musin and Alexey S. Tarasov