Research

Analysis

(Leader: Prof. Boris Shekhtman)

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
Speaker: Mourad Ismail
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
Speaker: Mourad Ismail
Time: 4:00pm–5:00pm
Place: PHY 118