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math.PR2023★ 2 cited
Increasing subsequences of linear size in random permutations and the Robinson-Schensted tableaux of permutons
Victor Dubach
The study of longest increasing subsequences (LIS) in permutations led to that of Young diagrams via Robinson-Schensted's (RS) correspondence. In a celebrated paper, Vershik and Ke…
math.PR2023★ 4 cited
Locally uniform random permutations with large increasing subsequences
Victor Dubach
We investigate the maximal size of an increasing subset among points randomly sampled from certain probability densities. Kerov and Vershik's celebrated result states that the larg…