School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Explore our Open Access Publications to discover research freely available to the public.
You can also view All Research Publications by the department, including both open access and subscription-based work over the past 36 months.
Submissions from 2012
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
Recursiveness and propagation for 2-variable weighted shifts, Sang Hoon Lee and Jasang Yoon
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
