16 citations · 28 across the 7 of their papers we have counts for
7 papers · 1 filter
The Hausdorff measure of stable trees
Thomas Duquesne, Jean-Francois Le Gall
We study fine properties of the so-called stable trees, which are the scaling limits of critical Galton-Watson trees conditioned to be large. In particular we derive the exact Haus…
Random Trees, Levy Processes and Spatial Branching Processes
Thomas Duquesne, Jean-Francois Le Gall
We investigate the genealogical structure of general critical or subcritical continuous-state branching processes. Analogously to the coding of a discrete tree by its contour funct…
Stochastic flows associated to coalescent processes III: Limit theorems
Jean Bertoin, Jean-François Le Gall
We prove several limit theorems that relate coalescent processes to continuous-state branching processes. Some of these theorems are stated in terms of the so-called generalized Fl…
Stochastic integral representation and regularity of the density for the Exit measure of super-Brownian motion
Jean-Francois Le Gall, Leonid Mytnik
This paper studies the regularity properties of the density of the exit measure for super-Brownian motion with (1+β)-stable branching mechanism. It establishes the continuity of th…
An invariance principle for conditioned trees
Jean-Francois Le Gall
We consider Galton-Watson trees associated with a critical offspring distribution and conditioned to have exactly vertices. These trees are embedded in the real line by affecti…
Probabilistic and fractal aspects of Levy trees
Thomas Duquesne, Jean-Francois Le Gall
We investigate the random continuous trees called Lévy trees, which are obtained as scaling limits of discrete Galton-Watson trees. We give a mathematically precise definition of t…