Modern random measures : Palm theory and related models

Modern random measures : Palm theory and related models
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现代随机测量：手掌理论和相关模型

DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
I. Molchanov
I. Molchanov
中科院分区：
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文献类型：
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作者：
G. Last;I. Molchanov

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本文旨在发展局部紧第二可数群上平稳随机测度的棕榈测度理论。重点将放在关于不变传输核的最新发展以及Palm测度、位移耦合和质量平稳性的相关不变性。固定分区和（不变）匹配可以作为广泛的例子。最近的许多结果将从阿贝尔（或R）情况推广到一般的局部紧群。
This paper aims at developing the theory of Palm measures of stationary random measures on locally compact second countable groups. The focus will be on recent developments concerning invariant transport-kernels and related invariance properties of Palm measures, shift-coupling, and mass-stationarity. Stationary partitions and (invariant) matchings will serve as extensive examples. Many recent results will be extended from the Abelian (or R) case to general locally compact groups.