107 citations · 586 across the 55 of their papers we have counts for
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math.PR2006
Limiting behavior of the distance of a random walk
Nathanael Berestycki, Rick Durrett
This investigation is motivated by a result we proved recently for the random transposition random walk: the distance from the starting point of the walk has a phase transition fro…
math.PR2006★ 77 cited
Beta-coalescents and continuous stable random trees
Julien Berestycki, Nathanaël Berestycki, Jason Schweinsberg
Coalescents with multiple collisions, also known as -coalescents, were introduced by Pitman and Sagitov in 1999. These processes describe the evolution of particles that undergo…
math.PR2006★ 84 cited
Small-time behavior of beta coalescents
Julien Berestycki, Nathanaël Berestycki, Jason Schweinsberg
For a finite measure on , the -coalescent is a coalescent process such that, whenever there are clusters, each -tuple of clusters merges into…