APDEs Seminar

I will talk about Gibbs measures on partitions of integers and sets and the corresponding limit shapes which appear in appropriate asymptotic limits. Models of this class are suitable for describing distributions of polymer sizes, fog droplets, or particle masses in colloidal suspensions. Then I will introduce various stochastic dynamics on these partitions and describe the corresponding hydrodynamic limits in terms of the PDEs governing the evolution of limit shapes for size distribution functions.