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arXiv · 1602.04960

The Brownian limit of separable permutations

Frédérique Bassino·Mathilde Bouvel·Valentin Féray·Lucas Gerin·Adeline Pierrot
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Abstract

We study random uniform permutations in an important class of pattern-avoiding permutations: the separable permutations. We describe the asymptotics of the number of occurrences of any fixed given pattern in such a random permutation in terms of the Brownian excursion. In the recent terminology of permutons, our work can be interpreted as the convergence of uniform random separable permutations towards a "Brownian separable permuton".

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Frédérique Bassino, Mathilde Bouvel, Valentin Féray, Lucas Gerin, Adeline Pierrot. 2016-02-16. The Brownian limit of separable permutations. https://arxiv.org/abs/1602.04960

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