USF Home > College of Arts and Sciences > Department of Mathematics & Statistics

Mathematics & Statistics

(Leader: Prof. V. Totik)

**Title**

**Speaker**

**Time**

**Place**

Reproducing Kernels and Integral Operators Involving Orthogonal Polynomials

Mourad Ismail

4:00pm-5:00pm

PHY 120

**Title**

**Speaker**

**Time**

**Place**

Products of Random Matrices: Limit Distributions

Arunava Mukherjea

3:00pm-4:00pm

PHY 120

**Abstract**

The subject of this talk is weak convergence for products of \(d\times d\) random matrices. Approximation through measures with finite support will be useful. Connection with a classical (still open) problem of Erdös will be pointed out.

**Title**

**Speaker**

**Time**

**Place**

Interpolation in \(3\)-D

Boris Shekhtman

3:00pm-4:00pm

PHY 108

**Title**

**Speaker**

**Time**

**Place**

The Stieltjes-Wigert Moment Problem

Jacob Christiansen

3:00pm-4:00pm

PHY 120

**Abstract**

The very first examples of indeterminate moment problems were given by Stieltjes in his famous memoir from 1894-95. For instance, he pointed out that the density of the log-normal distribution belongs to an indeterminate moment problem and the corresponding orthogonal polynomials were found by Wigert in 1923. In a paper from 1970, Chihara observed that the log-normal density satisfy a simple functional equation. Our starting point will be the functional equation \(f(xq)=xf(x)\), \(x>0\). We construct a transformation of the set of solutions which has all the classical solutions as fixed points, but not the so-called \(N\)-extremal solution. The iterated action of this transformation starting at a certain \(N\)-extremal solution can be found explicitly. In the limit one ends up with two well-known solutions found by Berg in 1998, and this result brings the Nevalinna parametrization into focus.

**Title**

**Speaker**

**Time**

**Place**

Zeros of Bergman Orthogonal Polynomials

Viktor Maymeskul

Vanderbilt University

3:00pm-4:00pm

PHY 108

**Title**

**Speaker**

**Time**

**Place**

Soliton, Positon and Complexiton Solutions to the KdV Equation

Wen-Xiu Ma

3:00pm-4:00pm

PHY 120

**Title**

**Speaker**

**Time**

**Place**

Interpolating Spaces and Topology of Manifolds

Boris Shekhtman

3:00pm-4:00pm

PHY 120

**Title**

**Speaker**

**Time**

**Place**

Polynomial inverse images, or how to transfer results from one interval to compact sets

Vilmos Totik

3:00pm-4:00pm

PHY 120