Add to ORKGAbstract: Our main object that we call the Poisson snake is a Brownian snake as introduced by Le Gall. This process has values which are trajectories of standard Poisson process stopped at some random finite lifetime with Brownian evolution. We use this Poisson snake to construct a self-similar fragmentation as introduced by Bertoin. A similar representation was given by Aldous and Pitman using the Continuum Random Tree. Whereas their proofs used approximation by discrete models, our representation allows continuous time arguments
International audienceWe consider the height process of a Lévy process with no negative jumps, and i...
32 pagesWe study a natural fragmentation process of the so-called stable tree introduced by Duquesne...
Given a general critical or sub-critical branching mechanism, we define a pruning procedure of the a...
International audienceWe consider the height process of a Levy process with no negative jumps, and i...
We introduce a probabilistic model that is meant to describe an object that falls apart randomly as ...
AbstractThis text surveys different probabilistic aspects of a model which is used to describe the e...
AbstractMotivated by questions related to a fragmentation process which has been studied by Aldous, ...
International audienceWe consider the fragmentation at nodes of the Lévy continuous random tree intr...
AbstractWe consider the height process of a Lévy process with no negative jumps, and its associated ...
Consider a Markov process $X$ on $[0,\infty)$ which has only negative jumps and converges as time te...
This thesis consists of four self-contained chapters whose motivations stem from population genetics...
International audienceIn this note, we consider general growth-fragmentation equations from a probab...
In this survey article, we present various probabilistic representations of the fragmentation equati...
We show that for $0-\alpha$, the Poisson-Dirichlet distribution with parameter $(\alpha, \theta)$ is...
The purpose of the present work is twofold. First, we develop the theory of general self-similar gro...
International audienceWe consider the height process of a Lévy process with no negative jumps, and i...
32 pagesWe study a natural fragmentation process of the so-called stable tree introduced by Duquesne...
Given a general critical or sub-critical branching mechanism, we define a pruning procedure of the a...
International audienceWe consider the height process of a Levy process with no negative jumps, and i...
We introduce a probabilistic model that is meant to describe an object that falls apart randomly as ...
AbstractThis text surveys different probabilistic aspects of a model which is used to describe the e...
AbstractMotivated by questions related to a fragmentation process which has been studied by Aldous, ...
International audienceWe consider the fragmentation at nodes of the Lévy continuous random tree intr...
AbstractWe consider the height process of a Lévy process with no negative jumps, and its associated ...
Consider a Markov process $X$ on $[0,\infty)$ which has only negative jumps and converges as time te...
This thesis consists of four self-contained chapters whose motivations stem from population genetics...
International audienceIn this note, we consider general growth-fragmentation equations from a probab...
In this survey article, we present various probabilistic representations of the fragmentation equati...
We show that for $0-\alpha$, the Poisson-Dirichlet distribution with parameter $(\alpha, \theta)$ is...
The purpose of the present work is twofold. First, we develop the theory of general self-similar gro...
International audienceWe consider the height process of a Lévy process with no negative jumps, and i...
32 pagesWe study a natural fragmentation process of the so-called stable tree introduced by Duquesne...
Given a general critical or sub-critical branching mechanism, we define a pruning procedure of the a...