3 papers
math.PR2019
On conditioning a self-similar growth-fragmentation by its intrinsic area
Jean Bertoin, Nicolas Curien, Igor Kortchemski
The genealogical structure of self-similar growth-fragmentations can be described in terms of a branching random walk. The so-called intrinsic area arises in this sett…
math.PR2018
Trajectories in random minimal transposition factorizations
Valentin Féray, Igor Kortchemski
We study random typical minimal factorizations of the -cycle, which are factorizations of as a product of transpositions, chosen uniformly at random. Our m…
math.PR2018
Condensation in critical Cauchy Bienaymé-Galton-Watson trees
Igor Kortchemski, Loïc Richier
We are interested in the structure of large Bienaymé-Galton-Watson random trees whose offspring distribution is critical and falls within the domain of attraction of a stable law o…