Mathematics Department Colloquium
Spring 2005

Date: Thursday, April 28
Time: 4:00 p.m.
Location: 215 Thomas Building
Name: Eitan Tadmor
Affiliation: University of Maryland
Title: Edge detections, hierarchical decompositions and multiscale nonlinear dynamics

Abstract: I will discuss three prototype problems which are dominated by the presence of different scales. The first deals with data processing involving different regions of smoothness. The interfaces of such regions are detected from their noisy spectral data using separation of scales. The second problem continues with image processing, where I will present a novel hierarchical decomposition of texture into different scales of edges. I will conclude with a discussion on nonlinear dynamics, nvolving the passage from kinetic to macroscopic scales. Regularizing effect quantified by the averaging lemma demonstrate multiscale dispersive effects.