Hidden symmetries of last passage percolation and directed polymers
Hidden symmetries of last passage percolation and directed polymers
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Duncan Dauvergne, Princeton
Planar last passage percolation and directed polymers with anÌýintegrable structure coming from either the RSKÌýcorrespondence or theÌýgeometric RSK correspondence exhibit a certain Markovian structure. I willÌýshow how to combine this Markovian structure with basic translation andÌýreflection invariance properties to produce new and interesting symmetriesÌýof these models.