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: |

Smoluchowskiâ€™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 |