40 citations
- Laboratoire de Physique ThéoriqueFR7 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- Délégation Paris 6FR5 papers
- CEA Paris-SaclayFR4 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR4 papers
- Université Paris CitéFR4 papers
- Sorbonne UniversitéFR3 papers
- École Normale Supérieure - PSLFR2 papers
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- AscensionUS1 paper
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5 papers · 2 filters
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…
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…
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…