区间划分空间上的扩散：由Bertoin的${\tt BES}_0(d)$，$d\in(0,1)$构造
Diffusions on a space of interval partitions: construction from Bertoin's ${\tt BES}_0(d)$, $d\in(0,1)$
摘要：
1990年，Bertoin在0到1维的Bessel过程的框架下构造了一个测度值马尔可夫过程。在本文中，我们表示这个过程中的一个空间的区间划分。我们表明，这是一个成员的一类间隔分区扩散最近推出的和独立的福尔曼，ESTA，Rizzolo和Winkel使用一个完全不同的结构，从谱正稳定的Lévy过程的指数在1和2之间，并与跳跃标记的平方贝塞尔偏移之间的相应尺寸$-2$和0。
英文摘要：
In 1990, Bertoin constructed a measure-valued Markov process in the framework of a Bessel process of dimension between 0 and 1. In the present paper, we represent this process in a space of interval partitions. We show that this is a member of a class of interval partition diffusions introduced recently and independently by Forman, Pal, Rizzolo and Winkel using a completely different construction from spectrally positive stable Lévy processes with index between 1 and 2 and with jumps marked by squared Bessel excursions of a corresponding dimension between $-2$ and 0.
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