Stationary Random Measures on Homogeneous Spaces

Günter Last ()
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Günter Last: Universität Karlsruhe (TH)

Journal of Theoretical Probability, 2010, vol. 23, issue 2, 478-497

Abstract: Abstract 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.

Keywords: Random measure; Palm measure; Stationarity; Locally compact group; Homogeneous space; Invariant transport-kernel; Stationary partition; Shift-coupling; 60D05; 60G55; 60G60 (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s10959-009-0231-9

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