Add to ORKGWe provide information about the asymptotic regimes for a homogeneous fragmentation of a finite set. We establish a phase transition for the asymptotic behaviours of the shattering times, defined as the first instants when all the blocks of the partition process have cardinality less than a fixed integer. Our results may be applied to the study of certain random split trees
We study a Markovian model for the random fragmentation of an object. At each time, the state consis...
AbstractThe main focus of this work is the asymptotic behavior of mass-conservative homogeneous frag...
The purpose of this work is to define and study homogeneous fragmentation processes in continuous ti...
International audienceWe consider the height process of a Lévy process with no negative jumps, and i...
This PhD thesis is devoted to the study of three combinatorial models occurring in probability theor...
AbstractIn the classical occupancy scheme, one considers a fixed discrete probability measure p=(pi:...
In the classical occupancy scheme, one considers a fixed discrete probability measure ${\bf p}=(p_i:...
AbstractWe consider the height process of a Lévy process with no negative jumps, and its associated ...
International audienceWe consider the fragmentation at nodes of the Lévy continuous random tree intr...
The stable fragmentation with index of self-similarity α ∈ [-1/2, 0) is derived by looking at the ma...
We consider a natural destruction process of an infinite recursive tree by removing each edge after ...
30 pagesThe basic object we consider is a certain model of continuum random tree, called the stable ...
The stable fragmentation with index of self-similarity $\alpha \in [-1/2,0)$ is derived by looking a...
Given any regularly varying dislocation measure, we identify a natural self-similar fragmentation tr...
Given any regularly varying dislocation measure, we identify a natural self-similar fragmentation tr...
We study a Markovian model for the random fragmentation of an object. At each time, the state consis...
AbstractThe main focus of this work is the asymptotic behavior of mass-conservative homogeneous frag...
The purpose of this work is to define and study homogeneous fragmentation processes in continuous ti...
International audienceWe consider the height process of a Lévy process with no negative jumps, and i...
This PhD thesis is devoted to the study of three combinatorial models occurring in probability theor...
AbstractIn the classical occupancy scheme, one considers a fixed discrete probability measure p=(pi:...
In the classical occupancy scheme, one considers a fixed discrete probability measure ${\bf p}=(p_i:...
AbstractWe consider the height process of a Lévy process with no negative jumps, and its associated ...
International audienceWe consider the fragmentation at nodes of the Lévy continuous random tree intr...
The stable fragmentation with index of self-similarity α ∈ [-1/2, 0) is derived by looking at the ma...
We consider a natural destruction process of an infinite recursive tree by removing each edge after ...
30 pagesThe basic object we consider is a certain model of continuum random tree, called the stable ...
The stable fragmentation with index of self-similarity $\alpha \in [-1/2,0)$ is derived by looking a...
Given any regularly varying dislocation measure, we identify a natural self-similar fragmentation tr...
Given any regularly varying dislocation measure, we identify a natural self-similar fragmentation tr...
We study a Markovian model for the random fragmentation of an object. At each time, the state consis...
AbstractThe main focus of this work is the asymptotic behavior of mass-conservative homogeneous frag...
The purpose of this work is to define and study homogeneous fragmentation processes in continuous ti...