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20042006
most citedOn processes which are infinitely divisible with respect to time

12 citations

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math.PR2006

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…

math.PR20051 cited

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…

math.PR2005

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…

math.PR2005

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…

math.PR2005

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…

math.PR2005

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…