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SUMMARY:Gibbs Ensembles of Partitions: from limit shapes to hydrodynamic l
 imits - Ibrahim Fatkullin (University of Arizona\; University of Arizona)
DTSTART:20190521T140000Z
DTEND:20190521T150000Z
UID:TALK125326@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Distributions of aggregate sizes in various polymerization pro
 cesses may be described by measures on partitions of integers and sets. We
  explicitly compute limit shapes for several grand canonical Gibbs ensembl
 es and prove that all possible limit shapes for these ensembles fall into 
 distinct classes determined by the asymptotics of the internal energies of
  aggregates. Further on\, we establish hydrodynamic limits for a class of 
 stochastic processes on the associated Young diagrams and deriving PDEs go
 verning the evolution of limit shapes in suitable asymptotic regimes.<br><
 br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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