30 citations · 38 across the 4 of their papers we have counts for
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math-ph2018★ 1 cited
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…
math-ph2018★ 5 cited
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…