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 2014

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On cubic multisections of Eisenstein series, Andrew Alaniz and Timothy Huber

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Solution of Fractional Harmonic Oscillator in a Fractional B-poly Basis, Muhammad I. Bhatti

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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

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Connections of zero curvature and applications to nonlinear partial differential equations, Paul Bracken

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Limit distributions of random walks on stochastic matrices, Santanu Chakraborty and Arunava Mukherjea

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Ill-posedness of the two-dimensional Keller-Segel model in Triebel-Lizorkin spaces, Chao Deng and John Villavert

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Energy and potential enstrophy flux constraints in quasi-geostrophic models, Eleftherios Gkioulekas

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A theory of theta functions to the quintic base, Timothy Huber

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Differential equations for septic theta functions, Timothy Huber and Danny Lara

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Reconstruction of Structured Quadratic Pencils from Eigenvalues on Ellipses and Parabolas, R. Ibragimov and Vesselin Vatchev

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Quantization dimension for Gibbs-like measures on cookie-cutter sets, Mrinal Kanti Roychowdhury

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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

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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

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Gradient-based compressive sensing for noise image and video reconstruction, Huihuang Zhao, Yaonan Wang, Xiaojiang Peng, and Zhijun Qiao

Submissions from 2013

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On Characterizations of Exponential Distribution through Order Statistics and Record Values with Random Shifts, M. Ahsanullah, Imtiyaz A. Shah, and George Yanev

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Hydro-thermal convective solutions for an aquifer system heated from below, Dambaru Bhatta

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Analytic matrix elements of the Schrödinger equation, Muhammad I. Bhatti

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A Note on the Fundamental Solution of the Heat Operator on Forms, Paul Bracken

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The Schwinger Action Principle and Its Applications to Quantum Mechanics, Paul Bracken

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Optimal Control in the Treatment of Retinitis Pigmentosa, Erika T. Camacho, Luis A. Melara, Cristina Villalobos, and Stephen Wirkus

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Parameterizations for quintic Eisenstein series, Richard Charles, Timothy Huber, and Andoni Mendoza

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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

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Generalized local test for local extrema in single-variable functions, Eleftherios Gkioulekas

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On equivalent characterizations of convexity of functions, Eleftherios Gkioulekas

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Zero-bounded limits as a special case of the squeeze theorem for evaluating single-variable and multivariable limits, Eleftherios Gkioulekas

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Algebro-geometric Solutions for the Degasperis--Procesi Hierarchy, Yu Hou, Peng Zhao, Engui Fan, and Zhijun Qiao

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Peakon, pseudo-peakon, and cuspon solutions for two generalized Camassa- Holm equations, Jibin Li and Zhijun Qiao

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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

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Quantization Dimension Estimate for Condensation Systems of Conformal Mappings, Mrinal Kanti Roychowdhury

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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

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Characterizations of Exponential Distribution Based On Sample of Size Three, George Yanev and Santanu Chakraborty

Submissions from 2012

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Characterizations of Logistic Distribution Through Order Statistics with Independent Exponential Shifts, M. Ahsanullah, George Yanev, and Constantin Onica

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Geometry of Partial Differential Equations, Paul Bracken

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Quantum Mechanics Entropy and a Quantum Version of the H-Theorem, Paul Bracken

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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

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The effect of asymmetric large-scale dissipation on energy and potential enstrophy injection in two-layer quasi-geostrophic turbulence, Eleftherios Gkioulekas

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On quintic Eisenstein series and points of order five of the Weierstrass elliptic functions, Timothy Huber

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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

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The Strong Thirteen Spheres Problem, Oleg R. Musin and Alexey S. Tarasov

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Minimal Time Functions and the Smallest Intersecting Ball Problem with Unbounded Dynamics, Nguyen Mau Nam, M. Cristina Villalobos, and Nguyen Thai An

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Negative-order Korteweg–de Vries equations, Zhijun Qiao and Engui Fan

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Electrocardiographic abnormalities among Mexican Americans: Correlations with diabetes, obesity, and the metabolic syndrome, Saulette R. Queen, Beverly Smulevitz, Anne R. Rentfro, Kristina Vatcheva, David D. McPherson, Susan P. Fisher-Hoch, Joseph B. McCormick, and Susan T. Laing

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Existence Theory for an Arbitrary Order Fractional Differential Equation with Deviating Argument, Youhui Su and Zhaosheng Feng

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Persisting role of healthcare settings in hepatitis C transmission in Pakistan: cause for concern, E Var Hoeve, A J. Codlin, F Jawed, A J. Khan, L Samad, Kristina Vatcheva, M B. Fallon, M Ali, S K. Niaz, J B. Mccormick, and S P. Fisher-Hoch

Submissions from 2011

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The Hodge–de Rham decomposition theorem and an application to a partial differential equation, Paul Bracken

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When is hyponormality for 2-variable weighted shifts invariant under powers?, Raul E. Curto and Jasang Yoon

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Mathematical Modeling and Computation of Channel Flow over Discrete Structures, Rolando J. Olivares and Daniel N. Riahi

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Statistical Changes of Lake Stages in Two Rapidly Urbanizing Watersheds, Shayne Paynter, Mahmood Nachabe, and George Yanev

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A new integrable two-component system with cubic nonlinearity, Junfeng Song, Changzheng Qu, and Zhijun Qiao

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Characterizations of Exponential Distribution Via Conditional Expectations of Record Values, George Yanev

Submissions from 2010

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Exterior Differential Systems Prolongations and Application to a Study of Two Nonlinear Partial Differential Equations, Paul Bracken

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Dissipation scales and anomalous sinks in steady two-dimensional turbulence, Eleftherios Gkioulekas

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Zeros of generalized Rogers–Ramanujan series: Asymptotic and combinatorial properties, Timothy Huber

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Combinatorics of generalized q-Euler numbers, Timothy Huber and Ae Ja Yee

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Bifurcations of traveling wave solutions for an integrable equation, Jibin Li and Zhijun Qiao

Submissions from 2009

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Polyphasic Wake/Sleep Episodes in the Fire Ant, Solenopsis Invicta, Deby L. Cassill, Skye Brown, Devon Swick, and George Yanev

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Basic representations for Eisenstein series from their differential equations, Timothy Huber

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Spatial Instability of Electrically Driven Jets with Finite Conductivity and Under Constant or Variable Applied Field, Saulo Orizaga and Daniel N. Riahi

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Analysis of Rotating Flow Around a Growing Protein Crystal, Daniel N. Riahi and Charles W. Obare

Submissions from 2008

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A fragment on Euler's constant in Ramanujan's lost notebook, Bruce C. Berndt and Timothy Huber

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An action for a classical string, the equation of motion and group invariant classical solutions, Paul Bracken

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Quantum phases for a generalized harmonic oscillator, Paul Bracken

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Some Applications of Dirac's Delta Function in Statistics for More Than One Random Variable, Santanu Chakraborty

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Locality and stability of the cascades of two-dimensional turbulence, Eleftherios Gkioulekas

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Winterberg’s conjectured breaking of the superluminal quantum correlations over large distances, Eleftherios Gkioulekas

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Hadamard products for generalized Rogers–Ramanujan series, Timothy Huber

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Changes in coral reef communities among the Florida Keys, 1996–2003, P. J. Somerfield, W. C. Jaap, K. R. Clarke, M. Callahan, K. Hackett, J. Porter, M. Lybolt, C. Tsokos, and George Yanev

Submissions from 2007

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On the elimination of the sweeping interactions from theories of hydrodynamic turbulence, Eleftherios Gkioulekas

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A new proof on net upscale energy cascade in two-dimensional and quasi-geostrophic turbulence, Eleftherios Gkioulekas and Ka Kit Tung

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Is the subdominant part of the energy spectrum due to downscale energy cascade hidden in quasi-geostrophic turbulence?, Eleftherios Gkioulekas and Ka Kit Tung

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Solving Ramanujan's differential equations for Eisenstein series via a first order Riccati equation, James M. Hill, Bruce C. Berndt, and Timothy Huber

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New integrable hierarchy, its parametric solutions, cuspons, one-peak solitons, and M/W-shape peak solitons, Zhijun Qiao

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On Mathematical Modeling, Nonlinear Properties and Stability of Secondary Flow in a Dendrite Layer, Daniel N. Riahi

Submissions from 2006

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Recent Developments in Understanding Two-dimensional Turbulence and the Nastrom-Gage Spectrum, Eleftherios Gkioulekas and Ka Kit Tung

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A New Integrable Equation with Cuspons and W/M-Shape-Peaks Solitons, Zhijun Qiao

Submissions from 2005

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On the double cascades of energy and enstrophy in two dimensional turbulence. Part 2. Approach to the KLB limit and interpretation of experimental evidence, Eleftherios Gkioulekas and Ka Kit Tung

Submissions from 2003

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Recent applications of fractional calculus to science and engineering, Lokenath Debnath

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Category of Nonlinear Evolution Equations, Algebraic Structure, and r-Matrix, Zhijun Qiao, Cewen Cao, and Walter Strampp

Submissions from 1999

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The Weierstrass–Enneper System for Constant Mean Curvature Surfaces and the Completely Integrable Sigma Model, Paul Bracken, A. M. Grundland, and L. Martina

Submissions from 1998

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On Different Integrable Systems Sharing the Same Nondynamical R-Matrix, Zhijun Qiao and Walter Strampp

Submissions from 1996

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Effective characteristic polynomials and two-point Pade approximants as summation techniques for the strongly divergent perturbation expansions of the ground state energies of anharmonic oscillators, Jiri Cizek, Ernst Joachim Weniger, Paul Bracken, and Vladimir Spirko

Submissions from 1995

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A completely integrable system and parametric representation of solutions of the Wadati-Konno-Ichikawa hierarchy, Zhijun Qiao

Submissions from 1994

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A hierarchy of nonlinear evolution equations and finite-dimensional involutive systems, Zhijun Qiao

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An involutive system and integrable C. Neumann system associated with the modified Korteweg-de Vries hierarchy, Zhijun Qiao

Submissions from 1993

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A new completely integrable Liouville's system produced by the Kaup-Newell elgenvalue problem, Zhijun Qiao