Growth-fragmentation process embedded in a planar Brownian excursion
arXiv:2005.06372
Abstract
The aim of this paper is to present a self-similar growth-fragmentation process linked to a Brownian excursion in the upper half-plane , obtained by cutting the excursion at horizontal levels. We prove that the associated growth-fragmentation is related to one of the growth-fragmentation processes introduced by Bertoin, Budd, Curien and Kortchemski.
33 pages, 7 figures