output
19982022
most citedA full sky, low foreground, high resolution CMB map from WMAP

296 citations

researchers with a paper here
collaborating institutions

125 papers

math.PR2022

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…

math.FA2021★ 12 cited

Transport-majorization to analytic and geometric inequalities

James Melbourne, Cyril Roberto

We introduce a transport-majorization argument that establishes a majorization in the convex order between two densities, based on control of the gradient of a transportation map b…

math.PR2021

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…

math.PR2021★ 1 cited

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 $\{…

math.FA2021★ 3 cited

Bakry-Emery Calculus For Diffusion With Additional Multiplicative Term

C. Roberto, B. Zegarlinski

We extend the Gamma_2 calculus of Bakry and Emery to include a Carre du champ operator with multiplicative term, providing results which allow to analyse inhomogeneous diffusions.

math.FA2021★ 19 cited

Hypercontractivity for Markov Semigroups

C. Roberto, B. Zegarlinski

We investigate in a systematic way hypercontractivity property in Orlicz spaces for Markov semi-groups related to homogeneous and non homogeneous diffusions in . We…