The Brownian limit of separable permutations - Laboratoire de recherche en informatique. Équipe: Bioinformatique
Journal Articles Annals of Probability Year : 2018

The Brownian limit of separable permutations

Mathilde Bouvel
Valentin Féray
Adeline Pierrot

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 patternin 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".
Fichier principal
Vignette du fichier
Feray_theBrownian.pdf (1.03 Mo) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-01818309 , version 1 (05-03-2024)

Identifiers

Cite

Frédérique Bassino, Mathilde Bouvel, Valentin Féray, Lucas Gerin, Adeline Pierrot. The Brownian limit of separable permutations. Annals of Probability, 2018, 46 (4), pp.2134 - 2189. ⟨10.1214/17-AOP1223⟩. ⟨hal-01818309⟩
892 View
18 Download

Altmetric

Share

More