标记碎片的下落与布朗高度碎裂的渐近瓦解
The falling appart of the tagged fragment and the asymptotic disintegration of the Brownian height fragmentation
摘要：
我们提出了一个进一步的分析，在高度的归一化布朗漂移的碎片。具体来说，我们研究的质量标记的片段的1/2稳定从属的Doob变换的表示，并用它来研究其跳跃，这说明了一个典型的片段如何分崩离析。这些结果延续到稳定树的高度破碎。此外，布朗碎裂中的碎片的大小时，它是约减少到尘埃描述的极限定理。
英文摘要：
We present a further analysis of the fragmentation at heights of the normalized Brownian excursion. Specifically we study a representation for the mass of a tagged fragment in terms of a Doob transformation of the 1/2-stable subordinator and use it to study its jumps; this accounts for a description of how a typical fragment falls apart. These results carry over to the height fragmentation of the stable tree. Additionally, the sizes of the fragments in the Brownian fragmentation when it is about to reduce to dust are described in a limit theorem.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
