On Hydrodynamic Limits of Young Diagrams.

  title={On Hydrodynamic Limits of Young Diagrams.},
  author={I. Fatkullin and Sunder Sethuraman and Jianfei Xue},
  journal={arXiv: Mathematical Physics},
  • I. Fatkullin, Sunder Sethuraman, Jianfei Xue
  • Published 2018
  • Mathematics, Physics
  • arXiv: Mathematical Physics
  • 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 the shape functions, under these Gibbs measures, have been shown by several over the years. The purpose of this article is to study corresponding `dynamical' limits of which less is understood. We show that the hydrodynamic scaling limits of the diagram shape functions may be described by different types parabolic… CONTINUE READING

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