Title: Isospectral Network Reductions
Speaker: Ben Webb (Brigham Young University)
Abstract: The recently developed theory of isospectral network reductions allows one to reduce the dimensionality of the underlying graph-structure (topology) of a network while essentially preserving the network's spectrum and eigenvectors. This theory has been successfully applied to a variety of problems. This includes network stability, eigenvalue approximations, and estimates of survival properties in open dynamical systems. In this talk I will discuss the basic procedure of a network reduction and some of these applications.
Seminar URL: https://research.math.osu.edu/tgda/tgda-seminar.html