Category Archives: Uncategorized

The One-Day Workshop on Applied  Harmonic Analysis and Sampling Theory, in adjunction with Departmental Colloquium Talk by distinguished speaker Akram Aldroubi, will held at Department of Mathematics, MSB318, on February 2, 2018. The workshop will  concentrate on  harmonic analysis and sampling theory.

During the workshop, Professor Akram Aldroubi (Vanderbilt University) will  discuss a dynamic frame system, which is fundamental for understanding and solving several major problems in engineering and science.  Many data sets in image analysis and signal processing are in a high-dimensional space but exhibit a low-dimensional structure. Professor Wenjing Liao (Georgia Tech) will present her works on  building efficient representations of these data for the purpose of compression and inference.  Stability is a basic concept in sampling theory. Professor Chang Eon Shin (Sogang University, Korea) will  provide an overview  on stability and norm-controlled inversion of infinite matrices and integral operators.   Dynamical sampling is an interdisciplinary field that deals with processing signals that evolve in time. Dr.  Sui Tang (John Hopkins University)  will discuss dynamic sampling and its connection to  sparse signal processing theory and polynomial interpolation theory.  Signals with finite rate of innovations appear in many engineering applications such as magnetic resonance spectrum, ultra wide-band communication and electrocardiogram. Professor Qiyu Sun (University of Central Florida) will give a talk on recent advances on phaseless sampling and reconstruction of signals with finite rate of innovations.

Titles and Abstracts of the 2018 Workshop on  Applied Harmonic Analysis and Sampling Theory

Schedule

09:00—09:05      Opening

09:05—09:55     Multiscale methods for high-dimensional data with low-dimensional structures

Wenjing Liao (Georgia Institute of Technology)

10:05—10:55      Stability, Wiener’s lemma and norm-controlled inversion of operators

Chang Eon Shin (Sogang Univesity)

11:05—11:55      Phaseless sampling and reconstruction of real-valued signals with finite rate of innovations

Qiyu Sun (University of Central Florida)

12:00—1:20         Lunch Break

01:30—02:20     Universal constructions of spatiotemporal sampling sets in dynamical sampling

Sui Tang (John Hopkins University)

2:30—3:00          Departmental Tea

03:00—03:50      Frames induced by the action of the powers of an operator

Akram Aldroubi  (Vanderbilt University), in adjunction with colloquium talk

Akram Aldroubi and  Zuhair Nashed

Wenjing Liao

Chang Eon Shin

Sui Tang

 

Akram Aldroubi, Zuhair Nashed and Mourad Ismail

Organizers:  Akram Aldroubi, Zuhair Nashed and Qiyu Sun

The Second Hangzhou Workshop on Harmonic Analysis and Applications

 

The Second Hangzhou Workshop  on Harmonic Analysis and Applications will held at Hangzhou, Zhejiang, China from December 16 to 17, 2017.

Hangzhou is the capital and most populous city of Zhejiang Province in east China and is about 100 miles from Shanghai. The city’s West Lake, a UNESCO World Heritage Site, is amongst its best-known attraction. Hangzhou is an emerging technology hub and home to the e-commerce giant Alibaba. It hosted the eleventh G-20 summit in 2016 and will host the 2022 Asian Games.   Enduring Memories of Hangzhou

Purpose of this annual event is to create a platform to exchange ideas on harmonic analysis and  applications, especially for young mathematician.

The first Hangzhou workshop was held at Hangzhou, December 24-25, 2016 with about 50 participants.

The following  are confirmed to attend the second workshop.

  1. Li-Xiang An (Central  China Normal University); Title: Riesz bases of exponential functions for Riesz product measures.
  2. Ning Bi (Sun Yat-sen University); Title: Robust recovery of sparse signals with tight frame via l_q minimizations
  3. Kaikai Cao (Beijing University of Technology)
  4. Jiecheng Chen (Zhejiang Normal University)
  5. Liang Chen (Sun Yat-sen Univeristy)
  6. Liangzhi Chen (Sun Yat-sen University)
  7. Wengu Chen (Institute of Applied Physics and Computational Mathematics, Chinese Academy of Science); title: receovery of signals with structures from incomplete information
  8. Yang Chen (Hunan Normal University); title: phase retrieval for signals in a shift-invariant space
  9.  Xing-rong Dai (Sun Yat-sen University)
  10. Xiao Fan (Quiling University of Electronic Technology)
  11. Qiquan Fang (Zhejiang University of Science and Technology)
  12. Xiaoye  Fu (Central China Normal University)
  13. Huijun Guo (Quiling University of Electronic Technology)
  14. Zheng-Chu Guo (Zhejiang University); title: learning theory of distributed spectral algorithms
  15. Xing-Gang He (Central China Normal University); title: some developments and problems of Fourier orthonormal bases for L^2(mu)
  16. Guoen Hu (University of Information Engineering)
  17. Meng Huang (Institute of Computational Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences)
  18. Houyu Jia (Zhejiang University)
  19. Rong-Qing Jia (University of Alberta); Title: Applications of quasi-interpolation in analysis
  20. Qingtang Jiang (University of Missouri at Saint Louis); title: Synchosqueezing transform with time-varying parameter for signal separation
  21. Yingchun  Jiang (Quiling University of Electronic Technology)
  22. Yongyang Jin (Zhejiang University of Technology)
  23. Junke Kou  (Quilin University of Electronic Technology); title: wavelet estimation for regression functions and their derivations.
  24. Baobin Li (University of Chinese Academy of Sciences)
  25. Dengfeng Li (Wuhan Textile University); title: Bessel multipliers in Banach spaces
  26. Fushen Li (Nankai University)
  27. Hongliang Li (Zhejiang International Studies University)
  28. Lan Li (Xi’an  Shiyou University)
  29. Lin Li (Xidian University); title: an empirical signal separation algorithm for multicomponent signals based on linear time-frequency analysis
  30. Song Li (Zhejiang Univerisity); title: Some  fundamental problems in compressive sensing
  31. Ting Li  (Quilin University of Electronic Technology)
  32. Yaling Li (Zhejiang University of Science and Technology); title: recovery of signals with prior support information
  33. Yaxu Li (Sun Yat-sen University)
  34. Youfa Li (Guangxi University)
  35. Yun-Zhang Li (Beijing University of Technology); title: Frames on the half real line.
  36. Zhongyan Li (North China University of Water Conservancy and Electric Power); title: functional matrix multipliers for Parvesal multi-frame generators
  37. Rongrong Lin (Sun Yat-sen University); title: convergence analysis of the Gaussian regularized  Shannon sampling series
  38. Bei Liu (Tianjin University of Technology)
  39. Youming Liu (Beijing University of Technology); title: Regression estimation via errors-in-variables.
  40. Fusheng Lv (Nankai University)
  41. Bolin Ma (Jiaxing College)
  42. Chunguang Ren (Beijing University of Technology)
  43. Shaoli Ru (Zhejiang Normal University)
  44. Jianmiao Ruan (Zhejiang International Studies University)
  45. ShouFeng Shen (Zhejiang University of Technology)
  46. Yi Shen (Zhejiang Sci-Tech University); title: image inpainting from partial noisy data by directional complex tight framelets
  47. Lei Shi (Fudan University); title: Coefficient-based regularized regression
  48. Qiyu Sun (University of Central Florida)
  49. Wenchang Sun (Nankai Univeristy); title: exact phase-retrievable frames.
  50. Xiangxing Tao (Zhejiang University of Science and Technology)
  51. Shimin  Wan (Tianjin Chengjian University)
  52. Lixia  Wang  (Tianjin Chengjian University)
  53. Silei Wang (Zhejiang University)
  54. Meng Wang (Zhejiang University); title: weak convergence of the Landau-de Gennes flow to motion by mean curvature
  55. Wei Wang (Central South University of Forestry and Technology)
  56. Wei Wang (Jiaxing College); title: a regularized multilevel approach for nonlinear inverse problems
  57. Ying Wang (Sun Yat-sen University)
  58. Chong Wu (Beijing University of Technology)
  59. Ding Wu (Zhejiang University of Science and Technology)
  60. Jun Xian (Sun Yet-sen University); title:  Random sampling and reconstruction in sparse mulitply generated shift-invariant spaces
  61. Jiaxin Xie (Institute of Computational Mathematics,  Academy of Mathematics and Systems Science Chinese Academy of Sciences)
  62. Zhihui Yan (Sun Yat-sen University)
  63. Qi Ye (South China Normal University); title: Kernel-based approximation methods for generalized interpolations: a deterministic or stochastic problem?
  64. Xiaochen Zeng (Beijing University of Technology)
  65. Haiying Zhang (Hangzhou Dianzi University)
  66. Qingyue Zhang (Tianjin University of Technology)
  67. Yan Zhang (Beifang University of Nationalities)
  68. Kai Zhao (Qidong University)
  69. Junjian Zhao (Tianjin University of Technology)
  70. Junjian Zhao (Tianjin Polytechnic University)
  71. Taotao Zheng ( Zhejiang University of Science and Technology)
  72. Zhitao Zhuang (North China University of Water Conservancy and Electric Power)

The conference will held at West Lake Hillview International Hotel

Organizers:  Xiangxing Tao (Zhejiang University of Science and Technology),  Qiyu Sun (University of Central Florida), Song Li (Zhejiang University) and Houyu Jia (Zhejiang University)

2nd Hangzhou workshop

 

Frequently Questions and Answers on Admissions

  1. When does the Math graduate program admit new students?

The  program admits new doctoral and master students in every fall and spring semester, and  new graduate certificate students in every fall, spring and summer semester.

2. What is the minimal academic requirement for the Math graduate program admission?

Students entering the  PhD and Master program with regular status are assumed to master undergraduate calculus, differential equations, linear algebra and matrix theory, and maturity in the language of advanced calculus (at the level of MAA 4226).

Students entering the graduate certificate program  should have a working knowledge of the context of undergraduate calculus, differential equations, linear algebra and matrix theory, with preference to those taking advanced  proof-based mathematics courses.

Students who are not adequately prepared in one or more of those course requirements are highly recommended to select appropriate courses from the undergraduate curriculum to make up such deficiencies. Such courses, unless specially approved, do not count toward the graduate degree.

Students who feel ready to start but  not qualified for regular status may be admitted initially to the university in a non-degree-seeking status. Students can try to take core or restricted selective courses listed in the  graduate program with credits earned can be transferred on a course-by-course basis up to the approval.

3. Does the program admits students with a baccalaureate degree not major in Mathematics?

You are encouraged to apply for the  graduate program. To encourage interdisciplinary research,  the UCF math graduate program has open admission policy.  Many faculty in the Math department works on interdisciplinary research problems and they have joint applications in other departments, institution and research centers within the university.

4. What are the university requirements for the graduate program admission?

For admission to the university, students must have obtained the equivalent of a baccalaureate or higher degree, prior to the start of the term for which the student is admitted.  For more detailed information, please visit http://www.admissions.graduate.ucf.edu/Admission_Requirements/  for domestic applications and http://www.admissions.graduate.ucf.edu/International_Applicants/Admission_Requirements/ for international applications.

5. IS GRE required for the graduate program admission?

Students applying to doctoral programs must submit an official competitive score on the General Tests of the Graduate Record Examination (GRE) (or an official competitive score on the General Management Admission Test [GMAT] as required), or an equivalent score on an equivalent measure approved by the graduate program and the university.    GRE results must be less than five years old. Students are  not necessary to take the  GRE Mathematics Test, however it is recommended.

Students applying to the Master program and the Math Certificate program are not necessary to submit the GRE scores. However, they are highly recommended for the admission in regular degree-seeking status. Students who wish to be considered for university-wide fellowships must submit an official GRE General Test score (or an official GMAT score as required).

6.  Are TOFEL/IELTS required for the international applications?

As required by the university, international students must demonstrate their proficiency in the English language. International students are required to submit a score on the Test of English as a Foreign Language (TOEFL) or IELTS before they can be admitted to the university. A computer-based TOEFL score of 220 or 80 on the internet-based TOEFL (or equivalent score on the paper-based test) or 6.5 on the IELTS is required unless otherwise specified by the program.

The  exemption for the above language requirement are given to  students who are from countries where English is the only official language, those who have earned a degree from a regionally accredited U.S. college or university, or those who have earned a degree from a country where English is the only official language or from a university at which English is the only official language of instruction. For details on your country’s required documents, included academic credentials and equivalency, please visit our Sample Country Requirements Page.

7. Is that enough for the admission if minimal requirements are met?

Meeting minimum UCF admission criteria does not guarantee program admission. Final admission is based on evaluation of the applicant’s abilities, past performance, recommendations, match of the program and faculty expertise to the applicant’s career/academic goals, and the applicant’s potential for completing the degree.

8.  How to apply the graduate teaching/graduate assistantship, tuition waiver and university fellowship?

The program offers graduate teaching/research assistantship for new PhD and master students admitted, however most are awarded to students in the PhD program starting from the fall semester. In  the application, you should answer “Yes” for the question “Are you interested in an assistantship and/or fellowship? “. The program will review your application to determine whether an graduate  teaching/graduate assistantship and tuition waiver will be offered.  The program will nominate some students to the University fellowship, please  the website https://funding.graduate.ucf.edu/fellowships/  for more information about the fellowship for graduate students.

9.  How to apply for the Math graduate program? What is the deadline to apply for?

Admission to the graduate program is formalized by the university upon the recommendation of the Department of Mathematics. However, the college of graduate studies handle all application paperwork. Please  follow instructions on the college’s admission website and  click here to apply on-line!

For the domestic and international applications, there are different admission deadline, see the graduate catalog for the detailed information.  It takes times to complete  the application procedure, including official transcript and recommendation letters.  Students are advised to apply at least one month early than the deadline listed in the catalog.

 

UCF Math Master Program

Yvette Kanouff (Master 1993), Senior Vice President/General Manager, Service Provider Business

The UCF Math Master Program has been offered since Spring 1971 with  an Industrial Mathematics track added in Fall 2000 and a Financial Mathematics track added in Fall 2017.  It has awarded 345 master degrees.

It aims to provide a broad base in mathematics for students interested in mathematical careers.  The program supports two distinct tracks: an unnamed track that follows the first two years of the doctoral program in mathematics, and a track in industrial mathematics.

The UCF Math Master program requires 30 credit hours minimum beyond the Bachelor’s degree, including the completion of the core courses and one 2-semester sequence. At least one-half of the program courses in both options must be taken at the 6000 level.

The UCF Math Master program offers two options, thesis and non-thesis. A program of study, including the option,  must be established by the end of the second semester and presented to the graduate program director for departmental approval.

John Pask (Master 1994), Physicist at the Lawrence Livermore National Laboratory

Students with thesis option must have a thesis advisor and pursue research which culminates to a master thesis.  Students in the program can specialize in many areas of pure and applied mathematics, including Approximation Theory, Applied and Computational Harmonic Analysis, Big Data and Mathematical Statistics, Combinatorics and Graph Theory, Commutative Algebra and Algebraic Geometry, Control and Optimization, Differential and Symplectic Geometry, Differential Equations, Fluid and Plasma Dynamics,  Inverse and Ill-posed Problems, Mathematical Biology, Mathematical Finance, Nonlinear Waves and Nonlinear Dynamics, Numerical Analysis, Orthogonal Polynomials, Real and Functional Analysis,  Probability and Stochastic Analysis, Tomography and Medical Imaging, Topology, and Wave Propagation.

Students with non-thesis option must pass the qualifying examinations at or above the MS level.  Students with non-thesis option are encouraged to  find an academic advisor and work on some research problems.

The UCF Math Master program with industrial Mathematics track prepares students to pursue careers in industry by providing them with high quality professional training in branches of mathematics valuable to high-technology industries. This track has three components: training in the necessary mathematics to pursue a career in industrial mathematics, professional training to prepare for the environment of the industrial workplace, and a required experiential component.

Additional information can be found at the  Math Master Program at UCF Catalog website, the Industrial Math Track @ UCF Graduate Catalog website, the College of Graduate Studies website, and the graduate program  Q&A website.

UCF Math Graduate Certificate

The UCF Math graduate certificate program has been offered since Fall 2009. It is mainly designed  to prepare students to teach college-level mathematics in colleges or high schools.

Students in the graduate certificate program must complete 18 credit hours of graduate-level mathematics. All required courses will be offered to accommodate distance learning by posting recorded lectures and taking exams/quizzes at local facility. However not all elective options or program prerequisites may be offered online.

The program may be completed online. UCF is not authorized to provide online courses or instruction to students in some states. Refer to State Restrictions for current information.

Most of required and elective courses in the program are proof-based. For the admission to the graduate certificate program, students should master the content of the following courses:

It is highly recommended that students have taken the following courses:

Additional information about the Certificate Program in Mathematical Sciences can be found at  UCF Graduate Catalog, the College of Graduate Studies website, and  the graduate program’s Q&A website.

 

 

UCF Math Graduate Courses

The UCF Math graduate program offers about 12 graduate courses per semester. Its graduate courses have 6 Prefixes: MAA (Mathamtics: Analysis);  MAD (Mathematics: Discrete); MAE (Mathematics Education); MAP (Matematics: Applied);  MAS (Mathematics: Algebraic Structures); MAT (Mathematics); MTG (Mathematics: Topology and Geometry).

Explore Math Graduate Courses at UCF for updated and detailed information about graduate courses offered by the program. If you do not see your courses listed, search among the graduate courses @UCF  and the undergraduate courses @UCF, or contact the graduate program coordinator.

The following is a list of graduate courses offered in the last four years. Information in the round bracket following the course number is the semester offered and abbreviation of instructors. The first two digit is the year, the next two digits are the semester (01 for spring semester, 05 for summer semester and 08 for fall semester), and the last two letters are the first letter of instructor’s first and last name, and different instructors may have the same abbreviation.  For the courses planned to offer, the semester information after the course number is in red.

 

 

UCF Math Dissertations

The Math Department has offered the PhD program since 1993 with a financial mathematics track added in Fall 2017. The program has awarded  69 PhD degrees since 1998.

2017

Martin Rolek (advisor: Zixia Song)
Coloring graphs with forbidden minors

2016

Ashish  Bhatt (advisor:  Brian Moore)
Structure-preserving finite difference methods for linearly damped differential equations 

Arita Dutta (advisor: Xin Li and Qiyu Sun)
Weighted low-rank approximation of matrices: some analytic and numerical aspects

Matthew Russo (advisor:  Sudipto Choudhury)
Building Lax Integrable Variable-Coefficient Generalizations to Integrable PDEs and Exact Solutions to Nonlinear PDEs

Jeff Shape (advisor:  Andrew Nevai)
A mathematical model for feral cat ecology with application to disease.

Maria Strawn (advisor:  Constance Schober)
Modeling rogue waves in deep water

Yi Zhu (advisor: Yuanwei  Qi)
Computational Study of Traveling Wave Solutions and Global Stability of Predator-Prey Models

2015

Lei, Ge (advisor: M. Nashed)
Calibration of Option Pricing in Reproducing Kernel Hilbert Space

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 of the Attenuated 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)
Electrical 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 Some Canonical 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 Pal Interpolation And Sampling Bilevel Signals With Finite Rate Of Innovation

2012

Ahmadi Abhari, Seyed Hamed (advisor: J. Brennan)
Quantum Algorithms For: Quantum Phase Estimation, Approximation Of The Tutte Polynomial And Black-box Structures

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

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 Lp-stability For Localized Infinite Matrices

Sweet, Erik (advisor: K. Vajravelu)
Analytical And Numerical Solutions Of Differentialequations 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 Implementation In Applications 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 The Empirical Likelihood Method In Proportional Hazards Model

Jing, Wu (advisor: D. Han)
       Frames in Hilbert C*-Modules

Singh, Neeta (advisor: D. Rollins)
      Epidemiological Models For Mutating Pathogens 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)
Decision Theory Classification Of High-dimensional Vectors Based On Small Samples 

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)
Smoothing Parameter Selection In Nonparametric Functional Estimation

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

To add or update information, please e-mail me at qiyu.sun@ucf.edu.