Growth-fragmentation process embedded in a planar Brownian excursion
Probability
2020-08-24 v2
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.
Cite
@article{arxiv.2005.06372,
title = {Growth-fragmentation process embedded in a planar Brownian excursion},
author = {E. Aïdékon and W. Da Silva},
journal= {arXiv preprint arXiv:2005.06372},
year = {2020}
}
Comments
33 pages, 7 figures