BROWNIAN MOTIONS ON SHAPE AND SIZE-AND-SHAPE SPACES

被引：8
|
作者：
LE, HL
机构：
来源：
JOURNAL OF APPLIED PROBABILITY | 1994年 / 31卷 / 01期
关键词：
HEAT KERNELS; EXPLOSION TIME;
D O I：
10.2307/3215238
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
The diffusions on the shape and size-and-shape spaces induced by brownian motions on the pre-size-and-shape spaces have been investigated in several papers (cf. [1], [6], [7]). We here address the dual problem: the character of the diffusions on the pre-shape and pre-size-and-shape spaces which induce brownian motions on the shape and size-and-shape spaces. In particular we show that the shape and size-and-shape spaces for k labelled points in R(m) are stochastically complete if k > m and obtain the heat kernels of certain diffusions which induce brownian motions on the size-and-shape spaces.
引用
收藏
页码：101 / 113
页数：13
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