Growth-fragmentation process embedded in a planar Brownian excursion

التفاصيل البيبلوغرافية
العنوان: Growth-fragmentation process embedded in a planar Brownian excursion
المؤلفون: Aïdékon, E., Da Silva, W.
سنة النشر: 2020
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Probability, 60D05
الوصف: 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
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2005.06372
رقم الانضمام: edsarx.2005.06372
قاعدة البيانات: arXiv