School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Submissions from 2014
Connections of zero curvature and applications to nonlinear partial differential equations, Paul Bracken
Optimal Control in the Treatment of Retinitis Pigmentosa, Erika T. Camacho, Luis A. Melara, Cristina Villalobos, and Stephen Wirkus
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
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
Minimal Time Functions and the Smallest Intersecting Ball Problem with Unbounded Dynamics, Nguyen Mau Nam, Cristina Villalobos, and Nguyen Thai An
Negative-order Korteweg–de Vries equations, Zhijun Qiao and Engui Fan
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
Existence Theory for an Arbitrary Order Fractional Differential Equation with Deviating Argument, Youhui Su and Zhaosheng Feng
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
The Hodge–de Rham decomposition theorem and an application to a partial differential equation, Paul Bracken
When is hyponormality for 2-variable weighted shifts invariant under powers?, Raul E. Curto and Jasang Yoon
Mathematical Modeling and Computation of Channel Flow over Discrete Structures, Rolando J. Olivares and Daniel N. Riahi
Statistical Changes of Lake Stages in Two Rapidly Urbanizing Watersheds, Shayne Paynter, Mahmood Nachabe, and George Yanev
A new integrable two-component system with cubic nonlinearity, Junfeng Song, Changzheng Qu, and Zhijun Qiao
Characterizations of Exponential Distribution Via Conditional Expectations of Record Values, George Yanev
Submissions from 2010
Exterior Differential Systems Prolongations and Application to a Study of Two Nonlinear Partial Differential Equations, Paul Bracken
Dissipation scales and anomalous sinks in steady two-dimensional turbulence, Eleftherios Gkioulekas
Zeros of generalized Rogers–Ramanujan series: Asymptotic and combinatorial properties, Timothy Huber
Combinatorics of generalized q-Euler numbers, Timothy Huber and Ae Ja Yee
Bifurcations of traveling wave solutions for an integrable equation, Jibin Li and Zhijun Qiao
Submissions from 2009
Polyphasic Wake/Sleep Episodes in the Fire Ant, Solenopsis Invicta, Deby L. Cassill, Skye Brown, Devon Swick, and George Yanev
Basic representations for Eisenstein series from their differential equations, Timothy Huber
Spatial Instability of Electrically Driven Jets with Finite Conductivity and Under Constant or Variable Applied Field, Saulo Orizaga and Daniel N. Riahi
Analysis of Rotating Flow Around a Growing Protein Crystal, Daniel N. Riahi and Charles W. Obare
Submissions from 2008
A fragment on Euler's constant in Ramanujan's lost notebook, Bruce C. Berndt and Timothy Huber
An action for a classical string, the equation of motion and group invariant classical solutions, Paul Bracken
Quantum phases for a generalized harmonic oscillator, Paul Bracken
Some Applications of Dirac's Delta Function in Statistics for More Than One Random Variable, Santanu Chakraborty
Locality and stability of the cascades of two-dimensional turbulence, Eleftherios Gkioulekas
Winterberg’s conjectured breaking of the superluminal quantum correlations over large distances, Eleftherios Gkioulekas
Hadamard products for generalized Rogers–Ramanujan series, Timothy Huber
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
On the elimination of the sweeping interactions from theories of hydrodynamic turbulence, Eleftherios Gkioulekas
A new proof on net upscale energy cascade in two-dimensional and quasi-geostrophic turbulence, Eleftherios Gkioulekas and Ka Kit Tung
Is the subdominant part of the energy spectrum due to downscale energy cascade hidden in quasi-geostrophic turbulence?, Eleftherios Gkioulekas and Ka Kit Tung
Solving Ramanujan's differential equations for Eisenstein series via a first order Riccati equation, James M. Hill, Bruce C. Berndt, and Timothy Huber
New integrable hierarchy, its parametric solutions, cuspons, one-peak solitons, and M/W-shape peak solitons, Zhijun Qiao
On Mathematical Modeling, Nonlinear Properties and Stability of Secondary Flow in a Dendrite Layer, Daniel N. Riahi
Submissions from 2006
Recent Developments in Understanding Two-dimensional Turbulence and the Nastrom-Gage Spectrum, Eleftherios Gkioulekas and Ka Kit Tung
A New Integrable Equation with Cuspons and W/M-Shape-Peaks Solitons, Zhijun Qiao
Submissions from 2005
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
Recent applications of fractional calculus to science and engineering, Lokenath Debnath
Category of Nonlinear Evolution Equations, Algebraic Structure, and r-Matrix, Zhijun Qiao, Cewen Cao, and Walter Strampp
Submissions from 1999
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
On Different Integrable Systems Sharing the Same Nondynamical R-Matrix, Zhijun Qiao and Walter Strampp
Submissions from 1996
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
A completely integrable system and parametric representation of solutions of the Wadati-Konno-Ichikawa hierarchy, Zhijun Qiao
Submissions from 1994
A hierarchy of nonlinear evolution equations and finite-dimensional involutive systems, Zhijun Qiao
An involutive system and integrable C. Neumann system associated with the modified Korteweg-de Vries hierarchy, Zhijun Qiao
Submissions from 1993
A new completely integrable Liouville's system produced by the Kaup-Newell elgenvalue problem, Zhijun Qiao