38 pagesWe consider fragmentation processes with values in the space of marked partitions of N, i.e. partitions where each block is decorated with a nonnegative real number. Assuming that the marks on distinct blocks evolve as independent positive self-similar Markov processes and determine the speed at which their blocks fragment, we get a natural generalization of the self-similar fragmentations of Bertoin (2002). Our main result is the characterization of these generalized fragmentation processes: a Lévy-Khinchin representation is obtained, using techniques from positive self-similar Markov processes and from classical fragmentation processes. We then give sufficient conditions for their absorption in finite time to a frozen state, and f...
The self-similar growth-fragmentation equation describes the evolution of a medium in which particle...
AbstractWe consider a self-similar fragmentation process which preserves the total mass. We are inte...
We study fragmentation processes which are linked to coalescent processes. First, we investigate the...
38 pagesWe consider fragmentation processes with values in the space of marked partitions of N, i.e....
Abstract. We study a Markovian model for the random fragmentation of an object. At each time, the st...
We study a Markovian model for the random fragmentation of an object. At each time, the state consis...
This thesis consists of four self-contained chapters whose motivations stem from population genetics...
The subject of this paper is a fragmentation equation with non-conservative solutions, some mass bei...
The main subject of this PHD thesis is the study of various quantities related to fragmentation proc...
We consider a family of fragmentation processes where the rate at which a particle splits is proport...
Consider a Markov process $X$ on $[0,\infty)$ which has only negative jumps and converges as time te...
We consider a natural destruction process of an infinite recursive tree by removing each edge after ...
This thesis treats stochastic aspects of fragmentation processes when growth and/or immigration of p...
We look at models of fragmentation with growth. In such a model, one has a number of independent cel...
We provide the exact large-time behavior of the tail distribution of the extinction time of a self-s...
The self-similar growth-fragmentation equation describes the evolution of a medium in which particle...
AbstractWe consider a self-similar fragmentation process which preserves the total mass. We are inte...
We study fragmentation processes which are linked to coalescent processes. First, we investigate the...
38 pagesWe consider fragmentation processes with values in the space of marked partitions of N, i.e....
Abstract. We study a Markovian model for the random fragmentation of an object. At each time, the st...
We study a Markovian model for the random fragmentation of an object. At each time, the state consis...
This thesis consists of four self-contained chapters whose motivations stem from population genetics...
The subject of this paper is a fragmentation equation with non-conservative solutions, some mass bei...
The main subject of this PHD thesis is the study of various quantities related to fragmentation proc...
We consider a family of fragmentation processes where the rate at which a particle splits is proport...
Consider a Markov process $X$ on $[0,\infty)$ which has only negative jumps and converges as time te...
We consider a natural destruction process of an infinite recursive tree by removing each edge after ...
This thesis treats stochastic aspects of fragmentation processes when growth and/or immigration of p...
We look at models of fragmentation with growth. In such a model, one has a number of independent cel...
We provide the exact large-time behavior of the tail distribution of the extinction time of a self-s...
The self-similar growth-fragmentation equation describes the evolution of a medium in which particle...
AbstractWe consider a self-similar fragmentation process which preserves the total mass. We are inte...
We study fragmentation processes which are linked to coalescent processes. First, we investigate the...