Stationary and invariant densities and disintegration kernels

• 成果类型: Article
• 署名作者: Kallenberg, Olav
• 署名单位: Auburn University System; Auburn University
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-013-0535-7
• 发表日期: 2014
• 页码: 567-592
• 关键词: homogeneous spaces; flat processes

摘要

Let be a locally compact topological group, acting measurably on some Borel spaces and , and consider some jointly stationary random measures on and on such that a.s. Then there exists a stationary random kernel from to such that a.s. This follows from the existence of an invariant kernel from to such that whenever . Also included are some related results on stationary integration, absolute continuity, and ergodic decomposition.