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On increasing subsequences of iid samples

Research paper by J. D. Deuschel, O. Zeitouni

Indexed on: 10 Mar '98Published on: 10 Mar '98Published in: Mathematics - Probability



Abstract

We study the fluctuations, in the large deviations regime, of the longest increasing subsequence of a random i.i.d. sample on the unit square. In particular, our results yield the precise upper and lower exponential tails for the length of the longest increasing subsequence of a random permutation.