Applied Mathematics Seminar

Speaker: Tin-Yau Tam

Title: Inverse spread limit of nonnegative matrix and its application

Abstract:  Given a nonnegative $n\times n$ matrix $A$, we introduce the notion of inverse spread $s(A)$. We study the asymptotic behavior of $s(A^m)$, that is, the behavior of $s(A^m)$ as $m\to \infty$. The study arises from evolutionary biology. The study involves Perron-Frobenius Theory, graph theory, DNA, etc.