30 citations · 38 across the 4 of their papers we have counts for
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Limit shapes for Gibbs partitions of sets
Ibrahim Fatkullin, Jianfei Xue
This study extends a prior investigation of limit shapes for partitions of integers, which was based on analysis of sums of geometric random variables. Here we compute limit shapes…
On Hydrodynamic Limits of Young Diagrams
Ibrahim Fatkullin, Sunder Sethuraman, Jianfei Xue
We consider a family of stochastic models of evolving two-dimensional Young diagrams, given in terms of certain energies, with Gibbs invariant measures. `Static' scaling limits of…
Limit shapes for Gibbs ensembles of partitions
Ibrahim Fatkullin, Valeriy Slastikov
We explicitly compute limit shapes for several grand canonical Gibbs ensembles of partitions of integers. These ensembles appear in models of aggregation and are also related to in…
Diffusive transport in two-dimensional nematics
Ibrahim Fatkullin, Valeriy Slastikov
We discuss a dynamical theory for nematic liquid crystals describing the stage of evolution in which the hydrodynamic fluid motion has already equilibrated and the subsequent evolu…