107 citations · 586 across the 55 of their papers we have counts for
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Critical branching Brownian motion with absorption: survival probability
Julien Berestycki, Nathanael Berestycki, Jason Schweinsberg
We consider branching Brownian motion on the real line with absorption at zero, in which particles move according to independent Brownian motions with the critical drift of $-\sqrt…
Critical branching Brownian motion with absorption: particle configurations
Julien Berestycki, Nathanael Berestycki, Jason Schweinsberg
We consider critical branching Brownian motion with absorption, in which there is initially a single particle at , particles move according to independent one-dimensional Br…
Cycle structure of the interchange process and representation theory
Nathanaël Berestycki, Gady Kozma
Consider the process of random transpositions on the complete graph. We use representation theory to give an exact, simple formula for the expected number of cycles of size k at ti…
Galton-Watson trees with vanishing martingale limit
Nathanael Berestycki, Nina Gantert, Peter Morters +1
We show that an infinite Galton-Watson tree, conditioned on its martingale limit being smaller than $\eps$, agrees up to generation with a regular -ary tree, where is th…
Asymptotic sampling formulae for Lambda-coalescents
Julien Berestycki, Nathanael Berestycki, Vlada Limic
We present a robust method which translates information on the speed of coming down from infinity of a genealogical tree into sampling formulae for the underlying population. We ap…