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4 papers · 2 filters
Record-biased permutations and their permuton limit
Mathilde Bouvel, Cyril Nicaud, Carine Pivoteau
In this article, we study a non-uniform distribution on permutations biased by their number of records that we call \emph{record-biased permutations}. We give several generative pr…
Phase transition for tree-rooted maps
Marie Albenque, Éric Fusy, Zéphyr Salvy
We introduce a model of tree-rooted planar maps weighted by their number of -connected blocks. We study its enumerative properties and prove that it undergoes a phase transition…
Unified study of the phase transition for block-weighted random planar maps
Zéphyr Salvy
In [Fleurat, Salvy 2024], we introduced a model of block-weighted random maps that undergoes a phase transition as the density of separating elements changes. The purpose of this n…
Long run convergence of discrete-time interacting particle systems of the McKean-Vlasov type
Pascal Bianchi, Walid Hachem, Victor Priser
We consider a discrete-time system of n coupled random vectors, a.k.a. interacting particles. The dynamics involve a vanishing step size, some random centered perturbations, and a…