Bob Pego (Carnegie Mellon)

Event Details

  • Date: Tuesday, Mar 12th 2019 4:00pm
  • Venue: 135 TMCB
  • Categories:
  • Topic: Dynamics in models of coagulation and fragmentation
  • Speaker: Bob Pego
  • College/Organization: Carnegie Mellon University

Coaglation-fragmentation equations are simple, nonlocal models for
evolution of the size distribution of clusters, appearing widely in science
and technology. But few general analytical results characterize their
dynamics. Solutions can exhibit self-similar growth, singular mass
transport, and weak or slow approach to equilibrium. I will review some
recent results in this vein, discussing: the cutoff phenomenon (as in card
shuffling) for Becker-Doering equilibration dynamics; equilibrium and
spreading profiles in a data-driven model of fish school size; and an
individual-based jump-process description of group-size dynamics. A
special role is played by Bernstein transforms and complex function
theory for Pick or Herglotz functions.

Refreshments at 3:30 294 TMCB