38 citations · 38 across the 3 of their papers we have counts for
5 papers
A recursive distribution equation for the stable tree
Nicholas Chee, Franz Rembart, Matthias Winkel
We provide a new characterisation of Duquesne and Le Gall's -stable tree, , as the solution of a recursive distribution equation (RDE) of the form $\mathcal{T}\overse…
A binary embedding of the stable line-breaking construction
Franz Rembart, Matthias Winkel
We embed Duquesne and Le Gall's stable tree into a binary compact continuum random tree (CRT) in a way that solves an open problem posed by Goldschmidt and Haas. This CRT can be ob…
Recursive construction of continuum random trees
Franz Rembart, Matthias Winkel
We introduce a general recursive method to construct continuum random trees (CRTs) from independent copies of a random string of beads, that is, any random interval equipped with a…
Branch merging on continuum trees with applications to regenerative tree growth
Franz Rembart
We introduce a family of branch merging operations on continuum trees and show that Ford CRTs are distributionally invariant. This operation is new even in the special case of the…
Large Deviations for Weighted Sums of Stretched Exponential Random Variables
Nina Gantert, Kavita Ramanan, Franz Rembart
We consider the probability that a weighted sum of i.i.d. random variables , , with stretched exponential tails is larger than its expectation and determi…