347 citations · 566 across the 22 of their papers we have counts for
4 papers · 2 filters
The Brownian cactus II. Upcrossings and local times of super-Brownian motion
Jean-François Le Gall
We study properties of the random metric space called the Brownian map. For every h>0, we consider the connected components of the complement of the open ball of radius h centered…
The range of tree-indexed random walk
Jean-François Le Gall, Shen Lin
We provide asymptotics for the range R(n) of a random walk on the d-dimensional lattice indexed by a random tree with n vertices. Using Kingman's subadditive ergodic theorem, we pr…
Quadrangulations with no pendant vertices
Johel Beltran, Jean-François Le Gall
We prove that the metric space associated with a uniformly distributed planar quadrangulation with n faces and no pendant vertices converges modulo a suitable rescaling to the Brow…
The harmonic measure of balls in random trees
Nicolas Curien, Jean-François Le Gall
We study properties of the harmonic measure of balls in typical large discrete trees. For a ball of radius centered at the root, we prove that, although the size of the boundar…