38 citations
- Laboratoire de Physique ThéoriqueFR5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Délégation Paris 6FR4 papers
- Université Paris CitéFR4 papers
- CEA Paris-SaclayFR3 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR3 papers
- École Normale Supérieure - PSLFR2 papers
- Fluides, Automatique et Systèmes ThermiquesFR2 papers
- Sorbonne UniversitéFR2 papers
- AscensionUS1 paper
- Astrophysique, Instrumentation et ModélisationFR1 paper
- CEA Paris-Saclay - Etablissement de SaclayFR1 paper
15 papers
Determining the Spectral Signature of Spatial Coherent Structures
L. R. Pastur, F. Lusseyran, Y. Fraigneau +1
We applied to an open flow a proper orthogonal decomposition (pod) technique, on 2D snapshots of the instantaneous velocity field, to reveal the spatial coherent structures respons…
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…
Planar Voronoi cells and the failure of Aboav's law
Hendrik-Jan Hilhorst
Aboav's law is a quantitative expression of the empirical fact that in planar cellular structures many-sided cells tend to have few-sided neighbors. This law is nonetheless violate…