Three series of lectures were given at the 32nd Probability Summer School in Saint-Flour
(July 7–24, 2002), by the Professors Pitman, Tsirelson and Werner …

Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a
comprehensive exposition of the mathematical analysis of coagulation-fragmentation …

Perturbations of Positive Semigroups with Applications is a self-contained introduction to
semigroup theory with emphasis on positive semigroups on Banach lattices and …

Exponential functionals of Le19 evy processes Page 1 Probability Surveys Vol. 2 (2005) 191–212
ISSN: 1549-5787 DOI: 10.1214/154957805100000122 Exponential functionals of Lévy …

Résumé Pour toute masse donnée, nous démontrons l'existence d'au moins une solution
stationnaire pour l'équation de coagulation–fragmentation. Nous ne faisons pas d'hypothèse …

We introduce a probabilistic model that is meant to describe an object that falls apart
randomly as time passes and fulfills a certain scaling property. We show that the distribution …

We raise the issue of estimating the division rate for a growing and dividing population
modelled by a piecewise deterministic Markov branching tree. Such models have broad …

The purpose of the present work is twofold. First, we develop the theory of general self-
similar growth-fragmentation processes by focusing on martingales which appear naturally …

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 …

We study the distribution and various properties of exponential functionals of
hypergeometric Lévy processes. We derive an explicit formula for the Mellin transform of the …