Growth-fragmentation process embedded in a planar Brownian excursion

2020/05/13 by Aïdékon, E., Da Silva, W. · 1 citation
#60D05 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/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 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.

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• Discrete flat disks: rigid quadrangulations

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