University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Gibbs Ensembles of Partitions: from limit shapes to hydrodynamic limits

Gibbs Ensembles of Partitions: from limit shapes to hydrodynamic limits

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact info@newton.ac.uk.

DNM - The mathematical design of new materials

Distributions of aggregate sizes in various polymerization processes may be described by measures on partitions of integers and sets. We explicitly compute limit shapes for several grand canonical Gibbs ensembles 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 governing the evolution of limit shapes in suitable asymptotic regimes.




This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity