12 citations
- Laboratoire de Probabilités et Modèles AléatoiresFR7 papers
- Département de mathématiques et applicationsFR1 paper
- Institut Élie Cartan de LorraineFR1 paper
- Kyoto UniversityJP1 paper
- Laboratoire de Statistique Théorique et AppliquéeFR1 paper
- Laboratoire Lorrain de Recherche en Informatique et ses ApplicationsFR1 paper
- Mathématiques Appliquées à Paris 5FR1 paper
- Université de LorraineFR1 paper
- Université Paris CitéFR1 paper
19 papers
On a model for the storage of files on a hardware II : Evolution of a typical data block
Vincent Bansaye
We consider a generalized version in continuous time of the parking problem of Knuth. Files arrive following a Poisson point process and are stored on a hardware identified with th…
Further examples of explicit Krein representations of certain subordinators
Catherine Donati-Martin, Marc Yor
In a previous paper, we have shown that the gamma subordinators may be represented as inverse local times of certain diffusions. In the present paper, we give such representations…
On multidimensional branching random walks in random environment
Francis Comets, Serguei Popov
We study branching random walks in random i.i.d. environment in . For this model, the population size cannot decrease, and a natural definition of recurrence is int…
Distributed Algorithms in an Ergodic Markovian Environment
Francis Comets, Francois Delarue, Rene Schott
We provide a probabilistic analysis of the banker algorithm when transition probabilities may depend on time and space. The transition probabilities evolve, as time goes by, along…
Pénalisations of Walsh's Brownian motion
Joseph Najnudel
In this paper, we construct a family of probability measures, by penalizations of a Walsh's Brownian motion with a weight dependent on its value and its local time at a time t. We…
Stochastic flows associated to coalescent processes III: Limit theorems
Jean Bertoin, Jean-François Le Gall
We prove several limit theorems that relate coalescent processes to continuous-state branching processes. Some of these theorems are stated in terms of the so-called generalized Fl…