most citedConditioned Brownian trees

2 citations

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3 papers

math.PR2005

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…

math.PR2005★ 2 cited

Conditioned Brownian trees

Jean-Francois Le Gall, Mathilde Weill

We consider a Brownian tree consisting of a collection of one-dimensional Brownian paths started from the origin, whose genealogical structure is given by the Continuum Random Tree…

math.OA2004

Failure of the Raikov theorem for free random variables

Florent Benaych-Georges

We show that the sum of two free random variables can have a free Poisson law without any of them having a free Poisson law.