33 citations · 64 across the 7 of their papers we have counts for
7 papers
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…
Continuum tree limit for the range of random walks on regular trees
Thomas Duquesne
Let be an integer greater than 1 and let $W^{\ee}=(W^{\ee}_n; n\geq 0)$ be a random walk on the -ary rooted tree $\U_b$, starting at the root, going up (resp. down) with pro…
A limit theorem for the contour process of conditioned Galton-Watson trees
Thomas Duquesne
In this work, we study asymptotics of the genealogy of Galton--Watson processes conditioned on the total progeny. We consider a fixed, aperiodic and critical offspring distribution…
Path decompositions for real Levy processes
Thomas Duquesne
Let be a real Lévy process and let $\Xpos $ be the process conditioned to stay positive. We assume that is regular for and with respect to…
Growth of Levy trees
Thomas Duquesne, Matthias Winkel
We construct random locally compact real trees called Levy trees that are the genealogical trees associated with continuous-state branching processes. More precisely, we define a g…