32 citations · 95 across the 18 of their papers we have counts for
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math.PR2007
The structure of the allelic partition of the total population for Galton-Watson processes with neutral mutations
Jean Bertoin
We consider a (sub) critical Galton-Watson process with neutral mutations (infinite alleles model), and decompose the entire population into clusters of individuals carrying the sa…
math.PR2007
Asymptotic regimes for the occupancy scheme of multiplicative cascades
Jean Bertoin
In the classical occupancy scheme, one considers a fixed discrete probability measure and throws balls independently at random in boxes labeled by $…
math.PR2007
Two-parameter Poisson-Dirichlet measures and reversible exchangeable fragmentation-coalescence processes
Jean Bertoin
We show that for and , the Poisson-Dirichlet distribution with parameter is the unique reversible distribution of a rather natural fragmentation-coalescence…