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On increasing subsequences of iid samples

J. D. Deuschel·O. Zeitouni
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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.

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J. D. Deuschel, O. Zeitouni. 1998-03-10. On increasing subsequences of iid samples. https://arxiv.org/abs/math/9803035

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