On increasing subsequences of iid samples
Probability
2007-05-23 v1
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.
Cite
@article{arxiv.math/9803035,
title = {On increasing subsequences of iid samples},
author = {J. D. Deuschel and O. Zeitouni},
journal= {arXiv preprint arXiv:math/9803035},
year = {2007}
}
Comments
16 pages