School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Submissions from 2020
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
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
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
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
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
Classification of radial solutions to equations related to Caffarelli–Kohn–Nirenberg inequalities, John Villavert
Biomedical Freshman Research Initiative: A Course-based Undergraduate Research Experience at a Hispanic-Serving Institution, Natasha J. Vora, Kristina Vatcheva, Manuel G. Saldivar, Saraswathy Nair, Michael Lehker, and Sue Anne Chew
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
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
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