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A determinantal point process approach to scaling and local limits of random Young tableaux

Borga, Jacopo et al.
arXiv (All) · Papers
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combinatoricsprobabilityrepresentation-theory
We obtain scaling and local limit results for large random Young tableaux of fixed shape $λ^0$ via the asymptotic analysis of a determinantal point process due to Gorin and Rahman (2019). More precisely, we prove: (1) an explicit description of the limiting surface of a uniform random Young tablea
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