PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Toan Nguyen, Fei Wang, Hope Shaffer, Mark Levi, Victor Nistor, Jinchao Xu, Ludmil Zikatanov.

Title:Coagulation dynamics and critical branching processes
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Robert Pego, Carnegie Mellon University
Abstract Link:http://www.math.cmu.edu/~bobpego/
Abstract:
Smoluchowski’s coagulation equation is a simple kinetic model for clustering, whose scaling limits relate to probability theory in remarkable ways. Such an equation governs the merging of ancestral trees in critical branching processes, as Bertoin and Le Gall have observed. A simple explanation of this relies on relating Bernstein functions to a weak topology for Levy triples. From the same theory, we find the existence of `universal' branching mechanisms which generate arbitrary renormalized limits. I also plan to describe a remarkable application of Bernstein function theory to a coagulation-fragmentation model introduced in fisheries science to explain animal group size.

Room Reservation Information

Room Number:MB106
Date:10 / 07 / 2013
Time:02:30pm - 03:30pm