A central limit theorem for a new statistic on permutations

Sourav Chatterjee; Persi Diaconis

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arXiv · 1608.01666

A central limit theorem for a new statistic on permutations

Sourav Chatterjee·Persi Diaconis

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Abstract

This paper does three things: It proves a central limit theorem for novel permutation statistics (for example, the number of descents plus the number of descents in the inverse). It provides a clear illustration of a new approach to proving central limit theorems more generally. It gives us an opportunity to acknowledge the work of our teacher and friend B. V. Rao.

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Sourav Chatterjee, Persi Diaconis. 2016-08-04. A central limit theorem for a new statistic on permutations. https://arxiv.org/abs/1608.01666

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