New edge asymptotics of skew Young diagrams via free boundaries


Abstract in English

We study edge asymptotics of poissonized Plancherel-type measures on skew Young diagrams (integer partitions). These measures can be seen as generalizations of those studied by Baik--Deift--Johansson and Baik--Rains in resolving Ulams problem on longest increasing subsequences of random permutations and the last passage percolation (corner growth) discre

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