Local central limit theorem for Mallows measure
Probability
2024-09-17 v1 Mathematical Physics
Combinatorics
math.MP
Abstract
We study the statistics of the Mallows measure on permutations in the limit pioneered by Starr (2009). Our main result is the local central limit theorem for its height function. We also re-derive versions of the law of large numbers and the large deviation principle, obtain the standard central limit theorem from the local one, and establish a multi-point version of the local central limit theorem.
Keywords
Cite
@article{arxiv.2409.10415,
title = {Local central limit theorem for Mallows measure},
author = {Alexey Bufetov and Kailun Chen},
journal= {arXiv preprint arXiv:2409.10415},
year = {2024}
}
Comments
18 pages