Open AccessStationary Random Measures on Homogeneous Spaces
Author(s) -
Günter Last
Publication year - 2009
Publication title -
journal of theoretical probability
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.671
H-Index - 42
eISSN - 1572-9230
pISSN - 0894-9840
DOI - 10.1007/s10959-009-0231-9
Subject(s) - mathematics , homogeneous , random element , invariant (physics) , stationary sequence , random measure , stationary process , transformation group , space (punctuation) , transformation (genetics) , random compact set , mathematical analysis , random field , pure mathematics , random variable , probability measure , combinatorics , statistics , computer science , gene , chemistry , biochemistry , operating system , mathematical physics
This paper discusses stationary random measures on a homogeneous space and their Palm measures. It starts with such fundamental properties as the refined Campbell theorem and then proceeds to consider invariant transports, invariance and transport properties of Palm measures, and stationary partitions. A key tool is a transformation of random measures that permits the extension of recent results for stationary random measures on a group to the more general case of stationary random measures on a homogeneous state space.
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