Speaker: Nermine El-Sissi
Affiliation: Trinity University
Title: Positive definite kernels and lattice paths.
Time and Place: Wednesday, October 24, 2:00-2:55pm, Milner 317.
Abstract: We discuss the structure of positive definite kernels in terms of operator models. We introduce two models, one of Hessenberg type and another we call near tridiagonal. These models produce parametrization of the kernels. We also discuss their combinatorial nature in terms of lattice paths of Dyck and Lukasiewicz type.