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arXiv · 2407.05708

Sharp Large Deviations for the Number of Descents and the Major Index in a Random Permutation

Bernard Bercu·Michel Bonnefont·Luis Fredes·Adrien Richou
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Abstract

The aim of this paper is to improve the large deviation principle for the number of descents in a random permutation by establishing a sharp large deviation principle of any order. We shall also prove a sharp large deviation principle of any order for the major index in a random permutation.

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Bernard Bercu, Michel Bonnefont, Luis Fredes, Adrien Richou. 2024-07-08. Sharp Large Deviations for the Number of Descents and the Major Index in a Random Permutation. https://arxiv.org/abs/2407.05708

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