## Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

#### Submissions from 2007

Time-Frequency Analysis and Applications, Abdelkrim Bourouihiya

Concatenating Codes for Improved Ambiguity Behavior, Abdelkrim Bourouihiya, Johnny J. Benedetto, and I. Konstantinidis

Deal or No Deal? Fair or Not Fair?, Jason Gershman

Deal or No Deal? Fair or Not Fair?, Jason Gershman

Mathematics and the Brain, Evan Haskell

On the structure of the lattice of combinatorial Rees–Sushkevich varieties, Edmond W. H. Lee and Mikhail V. Volkov

Convergence of Gibbs Measures on Fractals and Algebraic Sets, Eric Michael Samansky

New Results in Convergence of Gibbs Measures Associated with Simulated Annealing, Eric Michael Samansky

Hua's matrix equality and Schur complement, Fuzhen Zhang

Matrix Equalities and Inequalities of Hua Type, Fuzhen Zhang

Schur Complements and Applications, Fuzhen Zhang

Two New Proofs for Hua's Matrix Inequality, Fuzhen Zhang

#### Submissions from 2006

Certain Properties of Convolution Operators and Fourier Transform in the affine group, Abdelkrim Bourouihiya

Lecture, Matthew He

Using Bilinear Transformations to Estimate the Ratios of Accommodation and Vergence Reponses of Binocular Vision, Matthew He and B. C. Jiang

Mirror Principle and Beyond, Vehbi Emrah Paksoy

Convergence of Gibbs Measures Associated with Simulated Annealing, Eric Michael Samansky

Current Research on Convergence of Gibbs Measures with Complicated Simulated Annealing Constraints, Eric Michael Samansky

Ramified Transport and Qinglan Xia’s Current Research, Eric Michael Samansky

FEM Test of Optimized Approximate Deconvolution Models of Turbulence, Iuliana Stanculescu

Numerical Analysis of Approximate Deconvolution Models of Turbulence, Iuliana Stanculescu

Absolute Value of Matrices and Operators, Fuzhen Zhang

Matrix Eigenvalue Inequalities, Fuzhen Zhang

Some Matrix and Operator Inequalities Involving |A|, Fuzhen Zhang

Teaching Linear Algebra as a Tutorial, Fuzhen Zhang

Why Left and Right Spectral Radii Are Different, Fuzhen Zhang

#### Submissions from 2005

Pseudodifferential Operators and Banach Algebras in Mobile Communications, Abdelkrim Bourouihiya

Changes in Accommodative and Vergence Responses When Viewing Through Near Addition Lenses, Bai-chuan Jiang, Yin Tea, D. O'Donnell, and Matthew He

Cohomology of Polygon Spaces, Vehbi Emrah Paksoy

Mathematics of Black Holes, Vehbi Emrah Paksoy

Mirror Symmetry, Vehbi Emrah Paksoy

Left Eigenvalue Problems of Quaternionic Matrices, Fuzhen Zhang

Research on Quaternionic Matrices: A survey, Fuzhen Zhang

#### Submissions from 2004

Multipliers of Beurling Weighted Spaces, Abdelkrim Bourouihiya

Categorical features of the category W_{∞}, Ricardo Enrique Carrera

Parallel Processing of Multi-Modal Information in Single Neuron Computation, Evan Haskell

Using an optimization method to determine the parameters of the accommodative system of the eye, Matthew He

Advances in Bioinformatics and Its Applications, Matthew He, Sergei V. Petoukhov, and Giri Narasimhan

Analysing Patterns of Tripeptides Using Statistical Approach and Neural Network Paradigm, Raisa Szabo, Matthew He, Erick Burnham, and Jessica Jurani

Disc Separation of the Schur Complement, Fuzhen Zhang

The Schur Complement, Fuzhen Zhang

#### Submissions from 2003

Reflections in W_{α}, Ricardo Enrique Carrera

Mesoscopic Neurodynamics: The Transition to a New Equilibrium, Evan Haskell

The Electrical Properties of Dendritic Spines and the Temporal Filtering Properties of Neurons, Evan Haskell

The Influence of Dendritic Spines on Neuronal Integration, Evan Haskell

Lecture, Matthew He

Lecture, Matthew He

Symmetry in structure of genetic code, Matthew He

Information entropy and its applications in ATM networks and DNA sequences, Matthew He, Noah Gintis, and P. E. Ricci

A Model of Balance of Payment Crisis: The Strong Currency as a Determinant of Exchange Rate Disequilibria, Matthew He and Ordean G. Olson

Arrangements of Hyperplanes and Zaslavsky’s Theorem, Eric Michael Samansky

On the Schur Complement of Diagonally Dominant Matrices, Fuzhen Zhang

#### Submissions from 2002

Dimension Reduction in the Modeling of Large-Scale Neuronal Networks, Evan Haskell

Representations of Multi-Feature Selectivity, Evan Haskell

Lecture, Matthew He

Transformations, Classifications and Modeling of Nonrigid Object Motion, Matthew He and K. Chandra

Information Entropy of Probability Distributions, Matthew He, N. Gintis, and P. E. Ricci

Harmonic Oscillators, Moment Maps and Solutions of Polynomial Equations, Vehbi Emrah Paksoy

Block Matrix Techniques, Fuzhen Zhang

Matrix Inequalities by Embedding, Fuzhen Zhang

#### Submissions from 2001

Exploring a Role for CA1, Evan Haskell

What is the Role of CA1? Analyses and Simulations, Evan Haskell

Lecture, Matthew He

Asymptotics of for Entropy Integrals of Orthogonal Polynomials on the Unit Circle, Matthew He and P. E. Ricci

Entropy of Square Non-negative Matrices, Matthew He, P. E. Ricci, and D. S. Simon

A Method To Calculate the Cohomology Rings of Spatial Polygons in Euclidean Spaces, Vehbi Emrah Paksoy

Sums and Products of Positive Things Are Positive, Fuzhen Zhang

#### Submissions from 2000

Population Density Methods For Large-Scale Modeling of Neuronal Networks with Realistic Synaptic Kinetics, Evan Haskell

Population Density Methods For Large-Scale Modeling of Neuronal Networks with Realistic Synaptic Kinetics, Evan Haskell

Lecture, Matthew He

Matrix Inequalities, Fuzhen Zhang

Matrix Inequalities, Fuzhen Zhang

Matrix Inequalities, Fuzhen Zhang

#### Submissions from 1999

Compactifiant Algebras and the affine Group, Abdelkrim Bourouihiya

Lecture, Matthew He

Zeros's Asymptotic Distribution of Polynomials Orthogonal With Respect to Varying Weights, Matthew He

Distribution of the Zeros of Jacobi Polynomials Associated with Varying Weights, Matthew He, Z. Chen, Y. Li, and C. Micchelli

Enveloping Algebra of a Lie Algebra, Vehbi Emrah Paksoy

A Matrix Inequality and a Rank Identity, Fuzhen Zhang

Quaternion Matrices, Fuzhen Zhang

Tournament Matrices, Fuzhen Zhang

#### Submissions from 1998

Lecture, Matthew He

Lecture, Matthew He

A Matrix Inequality and Its Beautiful Proof, Fuzhen Zhang

Hua's Inequality: New proofs, Generalizations, and Analogs, Fuzhen Zhang

Hua's Inequality: New proofs, Generalizations, and Analogs, Fuzhen Zhang

Matrix Inequalities on Schur Complements, Fuzhen Zhang

Numerical Range of Quaternion Matrices: A survey, Fuzhen Zhang

On a Theorem in Ring Theory, Fuzhen Zhang

#### Submissions from 1997

Lecture, Matthew He

Contraction Matrices as the Convex Combinations of Unitary Matrices, Fuzhen Zhang

Jordan Canonical Forms of Quaternion Matrices, Fuzhen Zhang

Schur Complements, Fuzhen Zhang

#### Submissions from 1996

Lecture, Matthew He

Lecture, Matthew He

Normal Matrices of Zero and One Entries, Fuzhen Zhang

#### Submissions from 1995

Lecture, Matthew He

Lecture, Matthew He

The Faber Polynomials for Circular Arcs, Matthew He

The Orthogonality of Weighted Faber Polynomials, Matthew He