Exchangeable graph-valued Feller processes
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：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-016-0726-0
发表日期：
2017
页码：
849-899
关键词：
摘要：
The transition law of every exchangeable Feller process on the space of countable graphs is determined by a -finite measure on the space of -valued arrays. In discrete time, this characterization gives rise to a construction from an independent, identically distributed sequence of exchangeable random functions. In continuous time, the behavior is enriched by a L,vy-It-Khintchine-type decomposition of the jump measure into mutually singular components that govern global, vertex-level, and edge-level dynamics. Every such process almost surely projects to a Feller process in the space of graph limits.