We show that the genealogy of any self-similar fragmentation process can be encoded in a compact measured real tree. Under some Malthusian hypotheses, we compute the fractal Hausdorff dimension of this tree through the use of a natural measure on the set of its leaves. This generalizes previous work of Haas and Miermont which was restricted to conservative fragmentation processes.no
Abstract. Given a general critical or sub-critical branching mechanism and its associated Lévy cont...
The main subject of this PHD thesis is the study of various quantities related to fragmentation proc...
30 pagesThe basic object we consider is a certain model of continuum random tree, called the stable ...
Journal électronique : http://www.math.washington.edu/~ejpecp/index.phpWe encode a certain class of ...
A self-similar growth-fragmentation describes the evolution of particles that grow and split as time...
AbstractWe consider the height process of a Lévy process with no negative jumps, and its associated ...
38 pagesWe consider fragmentation processes with values in the space of marked partitions of N, i.e....
We investigate the loss of mass to dust for a class of fragmentation processes. We characterize, in ...
This thesis consists of four self-contained chapters whose motivations stem from population genetics...
37 pages, 6 figures.Similarly as in (Blancas et al. 2018) where nested coalescent processes are stud...
AbstractWe consider a mass-conservative fragmentation of the unit interval. Motivated by a result of...
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...
Baake E, Esser M. Fragmentation process, pruning poset for rooted forests, and Möbius inversion. ar...
We introduce a simple tree growth process that gives rise to a new two-parameter family of discrete ...
Abstract. Given a general critical or sub-critical branching mechanism and its associated Lévy cont...
The main subject of this PHD thesis is the study of various quantities related to fragmentation proc...
30 pagesThe basic object we consider is a certain model of continuum random tree, called the stable ...
Journal électronique : http://www.math.washington.edu/~ejpecp/index.phpWe encode a certain class of ...
A self-similar growth-fragmentation describes the evolution of particles that grow and split as time...
AbstractWe consider the height process of a Lévy process with no negative jumps, and its associated ...
38 pagesWe consider fragmentation processes with values in the space of marked partitions of N, i.e....
We investigate the loss of mass to dust for a class of fragmentation processes. We characterize, in ...
This thesis consists of four self-contained chapters whose motivations stem from population genetics...
37 pages, 6 figures.Similarly as in (Blancas et al. 2018) where nested coalescent processes are stud...
AbstractWe consider a mass-conservative fragmentation of the unit interval. Motivated by a result of...
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...
Baake E, Esser M. Fragmentation process, pruning poset for rooted forests, and Möbius inversion. ar...
We introduce a simple tree growth process that gives rise to a new two-parameter family of discrete ...
Abstract. Given a general critical or sub-critical branching mechanism and its associated Lévy cont...
The main subject of this PHD thesis is the study of various quantities related to fragmentation proc...
30 pagesThe basic object we consider is a certain model of continuum random tree, called the stable ...
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