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math.PR2020
Interval fragmentations with choice: equidistribution and the evolution of tagged fragments
Pascal Maillard, Elliot Paquette
We consider a Markovian evolution on point processes, the --process, on the unit interval in which points are added according to a rule that depends only on the spacings of the…
math.PR2020
Seneta-Heyde norming for branching random walks with -stable spine
Pierre Boutaud, Pascal Maillard
We consider branching random walks with a spine in the domain of attraction of an -stable Lévy process. For this process, the classical derivative martingale in general degenera…
math.PR2019
A revisited proof of the Seneta-Heyde norming for branching random walks under optimal assumptions
Pierre Boutaud, Pascal Maillard
We introduce a set of tools which simplify and streamline the proofs of limit theorems concerning near-critical particles in branching random walks under optimal assumptions. We ex…