most citedSystematic Derivation of Order Parameters through Reduced Density Matrices

38 citations

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8 papers

physics.class-ph2005★ 17 cited

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…

math.PR2005★ 6 cited

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…

math.PR2005

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…

math.PR2005

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…

math.PR2005★ 33 cited

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…

cond-mat.stat-mech2005★ 1 cited

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…