most citedCentral limit theorems for sequences of multiple stochastic integrals

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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★ 5 cited

Equilibrium for fragmentation with immigration

Benedicte Haas

This paper introduces stochastic processes that describe the evolution of systems of particles in which particles immigrate according to a Poisson measure and split according to a…

math.PR2005★ 103 cited

Equivalent and absolutely continuous measure changes for jump-diffusion processes

Patrick Cheridito, Damir Filipovic, Marc Yor

We provide explicit sufficient conditions for absolute continuity and equivalence between the distributions of two jump-diffusion processes that can explode and be killed by a pote…

math.PR2005

Continuous and Tractable models for the Variation of Evolutionary Rates

Thomas Lepage, Stephan Lawi, Paul Tupper +1

We propose a continuous model for evolutionary rate variation across sites and over the tree and derive exact transition probabilities under this model. Changes in rate are modelle…

math.PR2005★ 181 cited

A probabilistic approach to the geometry of the \ell_p^n-ball

Franck Barthe, Olivier Guedon, Shahar Mendelson +1

This article investigates, by probabilistic methods, various geometric questions on B_p^n, the unit ball of \ell_p^n. We propose realizations in terms of independent random variabl…