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The Brownian limit of separable permutations

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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Contributor : Lucas Gerin <>
Submitted on : Wednesday, February 17, 2016 - 11:50:36 AM
Last modification on : Tuesday, April 21, 2020 - 1:07:09 AM

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  • HAL Id : hal-01275310, version 1
  • ARXIV : 1602.04960


Frédérique Bassino, Mathilde Bouvel, Valentin Féray, Lucas Gerin, Adeline Pierrot. The Brownian limit of separable permutations. 2016. ⟨hal-01275310⟩



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