THE CUT-AND-PASTE PROCESS
成果类型：
Article
署名作者：
Crane, Harry
署名单位：
Rutgers University System; Rutgers University New Brunswick
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/14-AOP922
发表日期：
2014
页码：
1952-1979
关键词：
摘要：
We characterize the class of exchangeable Feller processes evolving on partitions with boundedly many blocks. In continuous-time, the jump measure decomposes into two parts: a sigma-finite measure on stochastic matrices and a collection of nonnegative real constants. This decomposition prompts a Levy-Ito representation. In discrete-time, the evolution is described more simply by a product of independent, identically distributed random matrices.