论文标题
嵌入在平面布朗时游览中的生长碎片处理过程
Growth-fragmentation process embedded in a planar Brownian excursion
论文作者
论文摘要
本文的目的是提出与上半平面$ \ mathbb {h} $相关的自相似的增长碎片,该过程是通过在水平水平上切割游览而获得的。我们证明,相关的生长碎片化与Bertoin,Budd,Curien和Kortchemski引入的生长碎片化过程之一有关。
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.