296 citations
- Université Paris NanterreFR84 papers
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- Laboratoire de Probabilités et Modèles AléatoiresFR14 papers
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- ESME - École d’ingénieurs pluridisciplinairesFR11 papers
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- Laboratoire de Mathématiques d'OrsayFR8 papers
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- Mathématiques Appliquées à Paris 5FR8 papers
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72 papers · 1 filter
Percolation probability and critical exponents for site percolation on the UIPT
Laurent Ménard
We derive three critical exponents for Bernoulli site percolation on the on the Uniform Infinite Planar Triangulation (UIPT). First we compute explicitly the probability that the r…
Long induced paths in a configuration model
Nathanaël Enriquez, Gabriel Faraud, Laurent Ménard +1
In an article published in 1987 in Combinatorica \cite{MR918397}, Frieze and Jackson established a lower bound on the length of the longest induced path (and cycle) in a sparse ran…
Scaling limits of tree-valued branching random walks
Thomas Duquesne, Robin Khanfir, Shen Lin +1
We consider a branching random walk (BRW) taking its values in the -ary rooted tree (i.e. the set of finite words written in the alphabet $\{…
Almost Periodic and Periodic Solutions of Differential Equations Driven by the Fractional Brownian Motion with Statistical Application
Nicolas Marie, Paul Raynaud de Fitte
We show that the unique solution to a semilinear stochastic differential equation with almost periodic coefficients driven by a fractional Brownian motion is almost periodic in a s…
Log-Hessian and Deviation Bounds for Markov Semi-Groups, and Regularization Effect in
Nathael Gozlan, Xue-Mei Li, Mokshay Madiman +2
It is well known that some important Markov semi-groups have a "regularization effect" -- as for example the hypercontractivity property of the noise operator on the Boolean hyperc…
Strongly vertex-reinforced jump process on a complete graph
Olivier Raimond, Tuan-Minh Nguyen
The aim of our work is to study vertex-reinforced jump processes with super-linear weight function , for some . On any complete graph , we prove that…