# Research

## Analysis

### Friday, April 25, 2003

Title: Recovery of Entire Functions From Special Values
Speaker: Jemal Gishe
Time: 4:15pm–5:05pm
Place: PHY 108

### Friday, April 18, 2003

Title: Products of Random Matrices With Dirichlet Densities
Speaker: Arunava Mukherjea
Time: 4:15pm–5:05pm
Place: PHY 118

#### Abstract

A random matrix is a matrix where each entry is a random variable (that is, a measurable function). A typical problem for products of random matrices with a limit (in some sense) is to identify the distribution of the limit matrix $$Y$$ (that is, the measure $$P$$ in the space of matrices given by $$P(B)=\Pr(Y\in B)$$). An easily understood old (but open) problem of this type that involves Gamma and Dirichlet (generalized Beta) densities will be discussed. The talk is guaranteed to be short.

### Friday, April 11, 2003

Title: Gamma Function Inequalities
Time: 4:00pm–5:00pm
Place: PHY 118

### Friday, February 28, 2003

Title: Bounds for the Polynomials With a Unit Discrete Norm
Speaker: E. A. Rakhmano
Time: 4:15pm–5:10pm
Place: PHY 118

### Friday, February 21, 2003

Title: Operator Ideals and Duals of Polynomials
Speaker: Boris Shekhtman
Time: 4:00pm–5:00pm
Place: PHY 118

### Friday, February 14, 2003

Seminar cancelled today.

### Friday, February 7, 2003

Title: Master Symmetries of Soliton Equations
Speaker: Wen-Xiu Ma
Time: 4:00pm–5:00pm
Place: PHY 118

#### Abstract

The talk will be focused on (a) the correspondence between symmetries and one-parameter groups of solutions, (b) Lie brackets related to zero curvature representations, (c) tau-algebra and master symmetries. Some open problems will also be mentioned.

### Friday, January 31, 2003

Title: Second Order Equations in Askey-Wilson Operators