Haas, Bénédicte, Miermont, Grégory
We consider a family of random trees satisfying a Markov branching property. Roughly, this property says that the subtrees above some given height are independent with a law that depends only on...
Self-similar scaling limits of non-increasing Markov chains (2009)
Haas, Bénédicte, Miermont, Grégory
We study scaling limits of non-increasing Markov chains with values in the set of non-negative integers, under the assumption that the large jump events are rare and happen at rates that behave like...
Self-similar scaling limits of non-increasing Markov chains (2009)
Haas, Bénédicte, Miermont, Grégory
We study scaling limits of non-increasing Markov chains with values in the set of non-negative integers, under the assumption that the large jump events are rare and happen at rates that behave like...
Self-similar scaling limits of non-increasing Markov chains (2009)
Haas, Bénédicte, Miermont, Grégory
We study scaling limits of non-increasing Markov chains with values in the set of non-negative integers, under the assumption that the large jump events are rare and happen at rates that behave like...
Self-similar scaling limits of non-increasing Markov chains (2009)
Haas, Bénédicte, Miermont, Grégory
We study scaling limits of non-increasing Markov chains with values in the set of non-negative integers, under the assumption that the large jump events are rare and happen at rates that behave like...
Self-similar scaling limits of non-increasing Markov chains (2009)
Haas, Bénédicte, Miermont, Grégory
We study scaling limits of non-increasing Markov chains with values in the set of non-negative integers, under the assumption that the large jump events are rare and happen at rates that behave like...
The subject of this paper is a fragmentation equation with non-conservative solutions, some mass being lost to a dust of zero-mass particles as a consequence of an intensive splitting. Under some...
The subject of this paper is a fragmentation equation with non-conservative solutions, some mass being lost to a dust of zero-mass particles as a consequence of an intensive splitting. Under some...
Behavior near the extinction time in self-similar fragmentations I: the stable case (2008)
Goldschmidt, Christina, Haas, Bénédicte
The stable fragmentation with index of self-similarity $\alpha \in [-1/2,0)$ is derived by looking at the masses of the subtrees formed by discarding the parts of a $(1 + \alpha)^{-1}$--stable...
Behavior near the extinction time in self-similar fragmentations I: the stable case (2008)
Goldschmidt, Christina, Haas, Bénédicte
The stable fragmentation with index of self-similarity $\alpha \in [-1/2,0)$ is derived by looking at the masses of the subtrees formed by discarding the parts of a $(1 + \alpha)^{-1}$--stable...
Behavior near the extinction time in self-similar fragmentations I: the stable case (2008)
Goldschmidt, Christina, Haas, Bénédicte
The stable fragmentation with index of self-similarity $\alpha \in [-1/2,0)$ is derived by looking at the masses of the subtrees formed by discarding the parts of a $(1 + \alpha)^{-1}$--stable...
The subject of this paper is a fragmentation equation with non-conservative solutions, some mass being lost to a dust of zero-mass particles as a consequence of an intensive splitting. Under some...
The subject of this paper is a fragmentation equation with non-conservative solutions, some mass being lost to a dust of zero-mass particles as a consequence of an intensive splitting. Under some...
Behavior near the extinction time in self-similar fragmentations I: the stable case (2008)
Goldschmidt, Christina, Haas, Bénédicte
The stable fragmentation with index of self-similarity $\alpha \in [-1/2,0)$ is derived by looking at the masses of the subtrees formed by discarding the parts of a $(1 + \alpha)^{-1}$--stable...
Behavior near the extinction time in self-similar fragmentations I: the stable case (2008)
Goldschmidt, Christina, Haas, Bénédicte
The stable fragmentation with index of self-similarity $\alpha \in [-1/2,0)$ is derived by looking at the masses of the subtrees formed by discarding the parts of a $(1 + \alpha)^{-1}$--stable...
Behavior near the extinction time in self-similar fragmentations I: the stable case (2008)
Goldschmidt, Christina, Haas, Bénédicte
The stable fragmentation with index of self-similarity $\alpha \in [-1/2,0)$ is derived by looking at the masses of the subtrees formed by discarding the parts of a $(1 + \alpha)^{-1}$--stable...
The subject of this paper is a fragmentation equation with non-conservative solutions, some mass being lost to a dust of zero-mass particles as a consequence of an intensive splitting. Under some...
Behavior near the extinction time in self-similar fragmentations I: the stable case (2008)
Goldschmidt, Christina, Haas, Bénédicte
The stable fragmentation with index of self-similarity $\alpha \in [-1/2,0)$ is derived by looking at the masses of the subtrees formed by discarding the parts of a $(1 + \alpha)^{-1}$--stable...
The subject of this paper is a fragmentation equation with non-conservative solutions, some mass being lost to a dust of zero-mass particles as a consequence of an intensive splitting. Under some...
Regularity of formation of dust in self-similar fragmentations (2007)
Universités De Paris, Paris Cnrs (umr, B. Haas, Bénédicte Haas
Regularity of formation of dust
Spinal partitions and invariance under re-rooting of continuum random trees (2007)
Haas, Bénédicte, Pitman, Jim, Winkel, Matthias
We develop some theory of spinal decompositions of discrete and continuous fragmentation trees. Specifically, we consider a coarse and a fine spinal integer partition derived from spinal tree...
Spinal partitions and invariance under re-rooting of continuum random trees (2007)
Haas, Bénédicte, Pitman, Jim, Winkel, Matthias
We develop some theory of spinal decompositions of discrete and continuous fragmentation trees. Specifically, we consider a coarse and a fine spinal integer partition derived from spinal tree...
Spinal partitions and invariance under re-rooting of continuum random trees (2007)
Haas, Bénédicte, Pitman, Jim, Winkel, Matthias
We develop some theory of spinal decompositions of discrete and continuous fragmentation trees. Specifically, we consider a coarse and a fine spinal integer partition derived from spinal tree...
Spinal partitions and invariance under re-rooting of continuum random trees (2007)
Haas, Bénédicte, Pitman, Jim, Winkel, Matthias
We develop some theory of spinal decompositions of discrete and continuous fragmentation trees. Specifically, we consider a coarse and a fine spinal integer partition derived from spinal tree...
Spinal partitions and invariance under re-rooting of continuum random trees (2007)
Haas, Bénédicte, Pitman, Jim, Winkel, Matthias
We develop some theory of spinal decompositions of discrete and continuous fragmentation trees. Specifically, we consider a coarse and a fine spinal integer partition derived from spinal tree...
Continuum tree asymptotics of discrete fragmentations and applications to phylogenetic models (2006)
Haas, Bénédicte, Miermont, Grégory, Pitman, Jim, Winkel, Matthias
Given any regularly varying dislocation measure, we identify a natural self-similar fragmentation tree as scaling limit of discrete fragmentation trees with unit edge lengths. As an application, we...
Fragmentation processes with an initial mass converging to infinity (2005)
We consider a family of fragmentation processes where the rate at which a particle splits is proportional to a function of its mass. Let $F_{1}^{(m)}(t),F_{2}^{(m)}(t),...$ denote the decreasing...
Fragmentation processes with an initial mass converging to infinity (2005)
We consider a family of fragmentation processes where the rate at which a particle splits is proportional to a function of its mass. Let $F_{1}^{(m)}(t),F_{2}^{(m)}(t),...$ denote the decreasing...
Fragmentation processes with an initial mass converging to infinity (2005)
We consider a family of fragmentation processes where the rate at which a particle splits is proportional to a function of its mass. Let $F\_{1}^{(m)}(t),F\_{2}^{(m)}(t),...$ denote the decreasing...
Equilibrium for fragmentation with immigration (2005)
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 self-similar...
Fragmentation processes with an initial mass converging to infinity (2005)
We consider a family of fragmentation processes where the rate at which a particle splits is proportional to a function of its mass. Let $F_{1}^{(m)}(t),F_{2}^{(m)}(t),...$ denote the decreasing...
Fragmentation processes with an initial mass converging to infinity (2005)
We consider a family of fragmentation processes where the rate at which a particle splits is proportional to a function of its mass. Let $F_{1}^{(m)}(t),F_{2}^{(m)}(t),...$ denote the decreasing...
Fragmentation processes with an initial mass converging to infinity (2005)
We consider a family of fragmentation processes where the rate at which a particle splits is proportional to a function of its mass. Let $F_{1}^{(m)}(t),F_{2}^{(m)}(t),...$ denote the decreasing...
Fragmentation processes with an initial mass converging to infinity (2005)
We consider a family of fragmentation processes where the rate at which a particle splits is proportional to a function of its mass. Let $F_{1}^{(m)}(t),F_{2}^{(m)}(t),...$ denote the decreasing...
The Genealogy of Self-similar Fragmentations with Negative Index as a Continuum Random Tree (2004)
Haas, Bénédicte; Université Pierre Et Marie Curie; Haas@ccr.jussieu.fr, Miermont, Grégory; DMA, Ecole Normale Supérieure, Et Université Paris VI; Miermont@dma.ens.fr
We encode a certain class of stochastic fragmentation processes, namely self-similar fragmentation processes with a negative index of self-similarity, into a metric family tree which belongs to the...
Equilibrium for Fragmentation With Immigration (2004)
Universités De Paris, Paris Cnrs (umr, B. Haas, Bénédicte 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 self-similar...