Seminar 7.6.2013: Robert Pego

Seminar on Qualitative Theory of Differential Equations
organized by P.Quittner, M.Fila and R.Kollar

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Seminar 7.6.2013: Robert Pego

Postby quittner » Tue May 28, 2013 7:15 am

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

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.
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