# Ph.Ds. Awarded

A list of Ph.Ds awarded. To add or update information, please e-mail us.

### 2015

Lei, Ge (advisor: M. Nashed)

*Calibration of Option Pricing in Reproducing Kernel Hilbert Spaces*

Siple, Angela (advisor: P. Mikusinski

* Integral Representations of Positive Linear Functionals *

### 2014

Baxter, Mathew (advisor: K. Vajravelu)

*Analytical Solutions to Nonlinear Differential Equations Arising in Physical Problems *

Haussermann, John (advisor: D. Dutkay)

*Tiling Properties of Spectra of Measures*

Krylov, Roman (advisor: A. Katsevich)

*Inversion of the Broken Ray Transform*

Martinenko, Evgeny (advisor: M. Pensky)

*Functional Data Analysis and Its Application to Cancer Data*

Sadiq, Kamran (advisor: A. Tamasan)

*On the Range Characterization of the Attentuated Radon Transform in Strictly Convex Sets*

Van Gorder, Robert A. *(*advisors: D. Kaup and K. Vajravelu)

*Nonlinear Dispersive Partial Differential Equations of Physical Relevance with Applications *

*to Vortex Dynamics*

Veras, Johann (advisor: A. Tamasan)

*Electricity Conductivity Imaging via Boundary Value Problems for the 1-Laplacian*

### 2013

Benhaddou, Rida (advisor: M. Pensky)

*Nonparametric and Empirical Bayes Estimation Methods*

Losert, Bernd (advisor: G. Richardson)

*Extensions of S-spaces*

Michalak, Martin (advisor: B. Shivamoggi)

*Dynamical Invariants and the Fluid Impulse in Plasma Models*

Pecora, Keri Ann (advisor: S. Choudhury)

*Partially Integrable PT-Symmetric Hierarchies of Nonlinear Partial Differential Equations*

Pehlivan, Saliha (advisors: D. Han and R. Mohapatra)

*Spectrally Uniform Frames and Spectrally Optimal Dual Frames*

Pridemore, Kathryn (advisor: M. Pensky)

* Accelerated Life Model with Various Types of Censored Data*

Ramesh Gayatri (advisors: Q. Sun and R. Mohapatra)

*Modified Pál Interpolation and Sampling Bilevel Signals with Finite Rate of Innovation*

### 2012

Ahmadi Abhari, Seyed Hamed (advisor: J. Brennan)

*Quantum Algorithms for Mathematical Problems*

### 2011

Alrud, Bengt (advisor: D. Dutkay)

*Fractal Spectral Measures in Two Dimensions*

Chen, Teng (advisor: J. Brennan)

*Algebraic Aspects of (Bio) Nano-Chemical Reaction Networks And Bifurcations in Various Dynamical Systems*

Davis, Justin (advisor: M. Pensky)

*Bayesian Model Selection for Classification with Possibly Large Number of Groups*

Riddlesworth, Tonya (advisor: J. Ren)

*Estimation for the Cox Model with Various Types of Censored Data*

Shao, Haimei (advisor: J. Yong)

*Price Discovery in the U.S. Bond Market-Trading Strategies and the Cost of Liquidity*

Smith, Todd Blanton (advisor: S. Choudhury)

*Variational Embedded Solitons, and Traveling Wavetrains Generated by Generalized Hopf Bifurcations, in Some NLPDE Systems*

### 2009

Galiffa, Daniel J. (advisor: M. Ismail)

* The Sheffer B-Type 1 Orthogonal Polynomial Sequences *

Konate, Souleymane (advisor: A. Katsevich)

* Efficient Cone Beam Reconstruction for the Distorted Circle And Line Trajectory*

Lopez, Jerry (advisor: D. Han)

* Optimal Dual Frames for Erasures and Discrete Gabor Frames*

Macon, Lisa Fisher (advisor: Y. Zhao)

*Almost Regular Graphs and Edge-Face Colorings of Plane Graphs*

Shi, Qiling (advisor: Q. Sun)

*Weighted -stability for Localized Infinite Matrices*

Sweet, Erik (advisor: K. Vajravelu)

*Analytical and Numerical Solutions to Differential Equations Arising in Fluid Flow and Heat Transfer Problems*

### 2008

Boustique, Hatim (advisors: G. Richardson and R. Mohapatra)

*Lattice-Valued Convergence: Quotient Maps*

Bryant, Donald (advisors: X. Li and M. Shah)

*Analysis of Kolmogorov’s Superposition Theorem and its Implications with Low and High Dimensional Data*

Khosravi, Mehrdad (advisor: P. Mikusinski)

*Pseudoquotients: Construction, Applications, and Their Fourier Transform*

Landon, Benjamin (advisor: R. Mohapatra)

*Degree of Approximation of Holder Continuous Functions*

### 2007

Flores, Paul (advisor: R. Mohapatra)

*Categorical Properties of Lattice-Valued Convergence Spaces*

Holmquist, Sonia (advisor: R. Mohapatra)

*An Examination of the Effectiveness of the Adomian Decomposition Method in Fluid Dynamic Applications*

Mancas, Stefan C. (advisor: S. Choudhury)

*Dissipative Solitons in the Cubic-Quintic Complex Ginzburg-Landau Equation: Bifurcations and Spatiotemporal Structure*

Vogel, Thomas (advisor: D.J. Kaup)

*Soliton Solutions of Nonlinear Partial Differential Equations Using Variational
*

*Approximations and Inverse Scattering Techniques*

Wlodarczyk, Tomasz (advisor: C. Schober)

*Stability and Preservation Properties of Multisymplectic Integrators*

### 2006

Cowan, Doris C. (advisors: L. Andrews and C. Young)

*Effects of Atmospheric Turbulence on the Propagation of Flattened Gaussian Optical Beams*

He, Bin (advisor: J. Ren)

*Application of Empirical Likelihood Method on Proportional Hazards Model*

Jing, Wu (advisor: D. Han)

* Frames in Hilbert C*-Modules*

Singh, Neeta (advisor: D. Rollins)

* Epidemiological Models for Mutating Pathogen with Temporary Immunity*

Vetelino, Frida (advisor: C. Young)

*Fade Statistics for a Lasercom System and the Joint PDF of a Gamma-Gamma Distributed Irradiance and Its Time Derivative*

### 2005

Bradshaw, David (advisor: M. Pensky)

*Classification of High-Dimensional Vectord Based on Matrix Variate Distributions*

Heard, Astrid (advisor: M. Pensky)

*Application of Statistical Methods in Risk and Reliability*

Salman, Mohamed (advisor: J. Cannon)

*Utilization of Total Mass as a Control in Diffusion Processes*

### 2004

Amezziane, Mohamed (advisor: M. Taylor)

*Smooting Parameter Selection in Nonparametric Functions*

Edwards, Heather (advisor: M. Taylor)

*Measures of Concordance of Polynomial Type*

Masino, Aaron (advisor: C. Young)

*The Wave Structure Function and Frequency Variance of Optical Waves in Moderate to Strong Atmospheric Turbulence With Application to Laser Radar*

### 2003

Boncek, J. (advisor: D. Han)

*Studies in Tight Frames and Polar Derivatives*

Korotkova, Olga (advisor: L.C. Andrews)

*Model for a Partially Coherent Gaussian Beam in Atmospheric Turbulence with Applications for Lasercom and LIDAR Systems*

Muise, R. (advisor: R. Mohapatra)

*Quadratic Filters for Automatic Pattern Recognition*

VanDeCar, Sida (advisor: X. Li )

*Inequalities Involving Complex Rational Functions*

Zamyatin, Alexander (advisor: A. Katsevich)

* Analysis of Cone Beam Reconstruction in Computer Tomography*

### 2001

Boissy, Y. (advisor: G. Richardson)

*Parameter Estimates for Fractional Autoregressive Spatial Processes*

### 2000

Al Habash, Ammar (advisor: L.C. Andrews)

*The Aperture Averaged Scintillation of the Intensity of a Gaussian Laser Beam Propagated Through Strong Optical Turbulence and Reflected By Various Targets*

*ElHor, A. (advisor: M. Pensky) *

*Statistical Estimation of the Locations of Lightning Events*

### 1999

Brown, K. (advisor: S. Choudhury)

*Linear and Nonlinear Kelvin-Helmholtz Instabilities of High Velocity Magnetized Shear Layers With Generalized Polytrope Laws*

### 1998

Kelly, D. (advisor: L.C. Andrews)

*Temporal Propagation Characteristics of Ultrasound Space-Time Gaussian Pulses In A Laser Satellite Communication System*

Minkler, Gary (advisor: G. Richardson)

*Regularity And Compactness in Fuzzy Convergence Spaces*

Minkler, Jing Q. (advisor: G. Richardson)

*On the Regularity of Probabilistic Convergence and Filter Spaces*

Tanriver, U. (advisor: S. Choudhury)

* One And Two Dimensional Coherent Structures Of Nonlinear Partial Differential Equations
*

*Via Painlevé Analysis*