2 papers
math.PR2024
Sharp Large Deviations for the Number of Descents and the Major Index in a Random Permutation
Bernard Bercu, Michel Bonnefont, Luis Fredes +1
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.…
math.CO2024
Sharp analysis on the joint distribution of the number of descents and inverse descents in a random permutation
Luis Fredes, Bernard Bercu, Michel Bonnefont +1
Chatteerjee and Diaconis have recently shown the asymptotic normality for the joint distribution of the number of descents and inverse descents in a random permutation. A noteworth…