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Abstract:
Smoluchowski's coagulation equation is a fundamental
mean-field model for the agglomeration of clusters.
I'll describe results obtained recently with Govind
Menon classifying all domains of attraction in
dynamic scaling, for the `solvable' rate kernels 2,
x+y, and xy. Via work of J. Bertoin, we also obtain
a complete classification of universality classes
for dynamic scaling of shock size distributions in
Burgers turbulence, for initial velocity that is
random with stationary, independent increments with
no positive jumps.
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