Growth-fragmentation process embedded in a planar Brownian excursion

Autor: Aïdékon, E., Da Silva, W.
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: The aim of this paper is to present a self-similar growth-fragmentation process linked to a Brownian excursion in the upper half-plane $\mathbb{H}$, 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.
Comment: 33 pages, 7 figures
Databáze: arXiv