Invariant measures and disintegrations with applications to Palm and related kernels

@article{Kallenberg2007InvariantMA,
  title={Invariant measures and disintegrations with applications to Palm and related kernels},
  author={Olav Kallenberg},
  journal={Probability Theory and Related Fields},
  year={2007},
  volume={139},
  pages={285-310},
  url={https://api.semanticscholar.org/CorpusID:189904860}
}
  • O. Kallenberg
  • Published 2007
  • Mathematics
  • Probability Theory and Related Fields
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 × T. The results are applied to Palm and related kernels associated with a stationary random pair (ξ,η), where ξ is a random measure on S and η is a random element in T. 
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