Seminár z kvalitatívnej teórie diferenciálnych rovníc

Piatok 7.6.2013 o 10:00 v posluchárni C

Robert Pego (Carnegie Mellon University):

Scaling dynamics for coagulation equations that govern

critical branching processes

Abstrakt:

Smoluchowski's coagulation equation is a simple kinetic model for clustering,

whose scaling dynamics relates to limit theorems in probability in remarkable ways.

Such a model governs the merging of ancestral trees in critical branching processes,

as recent work of Bertoin and Le Gall has indicated.

I plan to discuss work which establishes necessary and sufficient conditions

for the asymptotic self-similarity of clan size distributions in critical branching processes,

based on a renormalization-group analysis of the coagulation dynamics.