School of Mathematical and Statistical Sciences Faculty Publications and Presentations

School of Mathematical and Statistical Sciences Faculty Publications and Presentations

 

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Submissions from 2020

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Existence and stability of the doubly nonlinear anisotropic parabolic equation, Huashui Zhan and Zhaosheng Feng

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STABILITY OF ANISOTROPIC PARABOLIC EQUATIONS WITHOUT BOUNDARY CONDITIONS, Huashui Zhan and Zhaosheng Feng

Submissions from 2019

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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

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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

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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

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Metric geometry and the determination of the Bohmian quantum potential, Paul Bracken

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On a Class of Parameter Dependent Series Generalizing Euler’s Constant, Paul Bracken

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Properties of a class of mean dependent on a parameter, Paul Bracken

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Shape Equations for Two-Dimensional Manifolds through a Moving Frame Variational Approach, Paul Bracken

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The Generalized Weierstrass System in Three-Dimensional Euclidean Space, Paul Bracken

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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

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Connections between Pre-service Teachers’ Mathematical Dispositions and Self-efficacy for Teaching Mathematics, Jasmine M. Cruz, Aaron T. Wilson, and Xiaohui Wang

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On the regularity radius of Delone sets in R3, Nikolay Dolbilin, Alexey Garber, Undine Leopold, and Egon Schulte

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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

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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

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

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Global existence and propagation speed for a generalized Camassa-Holm model with both dissipation and dispersion, Qiaoyi Hu and Zhijun Qiao

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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

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Blocks in the category of finite-dimensional representations of principal W-algebra for Q(2), Elena Poletaeva

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“Diabesity” among Latinos: A Culturally Relevant Mathematics Activity by a Mathematics Teacher Candidate, Olga Ramirez and Cherie McCollough

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Optimal quantization for the Cantor distribution generated by infinite similutudes, Mrinal Kanti Roychowdhury

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Assessment of Gestational Diabetes Mellitus Outcomes for Hispanic Women Living in the Rio Grande Valley, Norma Somohano-Mendiola, Jane D. Champion, and Kristina Vatcheva

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Statin Prescription for Patients With Atherosclerotic Cardiovascular Disease from National Survey Data, Kristina Vatcheva, Vicente Aparicio, Ayesha Araya, Eduardo Gonzalez, and Susan T. Laing

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

Submissions from 2018

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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

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Linear Stability Analysis with Solution Patterns due to Varying Thermal Diffusivity for a Convective Flow in a Porous Medium, Dambaru Bhatta

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Solution of mathematical model for gas solubility using fractional-order Bhatti polynomials, Muhammad I. Bhatti, Paul Bracken, Nicholas Dimakis, and Armando Herrera

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The Local Theory for Regular Systems in the Context of t-Bonded Sets, Mikhail M. Bouniaev and Nikolay Dolbilin

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A Formulation of L-Isothermic Surfaces in Three-Dimensional Minkowski Space, Paul Bracken

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Cartan frames and algebras with links to integrable systems differential equations and surfaces, Paul Bracken

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Using restrictions to accept or reject solutions of radical equations, Eleftherios Gkioulekas

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Covering a Ball by Smaller Balls, Alexey Glazyrin

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Series for 1/π of level 20, Timothy Huber, Daniel Schultz, and Dongxi Ye

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The Development of Secondary Mathematics Teachers’ Pedagogical Identities in the Social Context of Classroom Interactions, Hyung Won Kim

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Analogs of Steiner’s porism and Soddy’s hexlet in higher dimensions via spherical codes, Oleg R. Musin

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Optimal quantizers for some absolutely continuous probability measures, Mrinal Kanti Roychowdhury

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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

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ISAR Autofocus Imaging Algorithm for Maneuvering Targets Based on Phase Retrieval and Gabor Wavelet Transform, Hongyin Shi, Ting Yang, and Zhijun Qiao

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PRECONDITIONING METHODS FOR THIN SCATTERING STRUCTURES BASED ON ASYMPTOTIC RESULTS, Josef A. Sifuentes and Shari Moskow

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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

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Using Technology to Determine Factorability or Non-factorability of Quadratic Algebraic Trinomials, John E. T. Bernard, Olga Ramirez, and Cristina Villalobos

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A class of transformations of a quadratic integral generating dynamical systems, Paul Bracken

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A geometric formulation of Lax integrability for nonlinear equationsin two independent variables, Paul Bracken

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An Intrinsic Characterization of Bonnet Surfaces Based on a Closed Differential Ideal, Paul Bracken

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An Introduction to Ricci Flow for Two-Dimensional Manifolds, Paul Bracken

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Applications of the lichnerowicz Laplacian to stress energy tensors, Paul Bracken

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Spectral Theory of Operators on Manifolds, Paul Bracken

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Yang Mills Theories, Paul Bracken

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

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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

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On the denesting of nested square roots, Eleftherios Gkioulekas

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

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

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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

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

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

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

Submissions from 2016

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

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

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Harmonic Maps Surfaces and Relativistic Strings, Paul Bracken

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

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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

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

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

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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

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

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Generalized reciprocal identities, Timothy Huber and Daniel Schultz

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

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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

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

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

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

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KKM type theorems with boundary conditions, Oleg R. Musin

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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

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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

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

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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

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Variable Moving Average Transform Stitching Waves, Vesselin Vatchev

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

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

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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

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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

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

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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

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

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Connections of zero curvature and Bäcklund transformations, Paul Bracken

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

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

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

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Symmetries of monocoronal tilings, Dirk Frettlöh and Alexey Garber

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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

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

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

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

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

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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

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

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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

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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

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Critical Controlled Branching Processes And Their Relatives, George Yanev