6 citations · 15 across the 4 of their papers we have counts for
6 papers
Williams' decomposition of the Lévy continuous random tree and simultaneous extinction probability for populations with neutral mutations
Romain Abraham, Jean-François Delmas
We consider an initial Eve-population and a population of neutral mutants, such that the total population dies out in finite time. We describe the evolution of the Eve-population a…
Changing the branching mechanism of a continuous state branching process using immigration
Romain Abraham, Jean-Francois Delmas
We construct a continuous state branching process with immigration (CBI) whose immigration depends on the CBI itself and we recover a continuous state branching process (CB). This…
Significant edges in the case of a non-stationary Gaussian noise
Isabelle Abraham, Romain Abraham, Agnes Desolneux +1
In this paper, we propose an edge detection technique based on some local smoothing of the image followed by a statistical hypothesis testing on the gradient. An edge point being d…
Asymptotics for the small fragments of the fragmentation at nodes
Romain Abraham, Jean-François Delmas
We consider the fragmentation at nodes of the Lévy continuous random tree introduced in a previous paper. In this framework we compute the asymptotic for the number of small fragme…
Feller property and infinitesimal generator of the exploration process
Romain Abraham, Jean-Francois Delmas
We consider the exploration process associated to the continuous random tree (CRT) built using a Levy process with no negative jumps. This process has been studied by Duquesne, Le…
Fragmentation associated to Levy processes using snake
Romain Abraham, Jean-Francois Delmas
We consider the height process of a Levy process with no negative jumps, and its associated continuous tree representation. Using Levy snake tools developed by Duquesne and Le Gall…