Invariant measures and disintegrations with applications to Palm and related 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/s00440-006-0053-y
• 发表日期: 2007
• 页码: 285-310
• 关键词: point processes

摘要

Consider a locally compact group G acting measurably on some spaces S and T. We prove a general representation of G-invariant measures on S and the existence of invariant disintegrations of jointly invariant measures on S x T. The results are applied to Palm and related kernels associated with a stationary random pair (xi,eta), where xi is a random measure on S and eta is a random element in T.