152 citations · 607 across the 56 of their papers we have counts for
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math.PR2015★ 12 cited
Random planar maps & growth-fragmentations
Jean Bertoin, Nicolas Curien, Igor Kortchemski
We are interested in the cycles obtained by slicing at all heights random Boltzmann triangulations with a simple boundary. We establish a functional invariance principle for the le…
math.PR2015★ 29 cited
Probabilistic aspects of critical growth-fragmentation equations
Jean Bertoin, Alexander R. Watson
The self-similar growth-fragmentation equation describes the evolution of a medium in which particles grow and divide as time proceeds, with the growth and splitting of each partic…
math.PR2015★ 19 cited
The fragmentation process of an infinite recursive tree and Ornstein-Uhlenbeck type processes
Erich Baur, Jean Bertoin
We consider a natural destruction process of an infinite recursive tree by removing each edge after an independent exponential time. The destruction up to time t is encoded by a pa…