Weak homogenization of point processes by space deformations (Q2713149)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weak homogenization of point processes by space deformations |
scientific article |
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Weak homogenization of point processes by space deformations (English)
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26 July 2001
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spatial point process
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moment measure
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space transformation
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homogenization
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Let \(\xi\) be a point process defined on a Borel subset \(X\) of \(\mathbb{R}^n\). Conditions are discussed under which there exists a diffeomorphism \(\Phi: X\to U\), \(U\subset\mathbb{R}^n\), for which the image point process \(\widehat\xi(B):= \xi(\Phi^{-1}(B))\), \(B\in{\mathcal B}(U)\), is weakly stationary.
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