Corpus ID: 231740968

Disjoint optimizers and the directed landscape

@inproceedings{Dauvergne2021DisjointOA,
  title={Disjoint optimizers and the directed landscape},
  author={Duncan Dauvergne and L. Zhang},
  year={2021}
}
We study maximal length collections of disjoint paths, or `disjoint optimizers', in the directed landscape. We show that disjoint optimizers always exist, and that their lengths can be used to construct an extended directed landscape. The extended directed landscape can be built from an independent collection of extended Airy sheets, which we define via last passage percolation across the Airy line ensemble. We show that the extended directed landscape and disjoint optimizers are scaling limits… Expand
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