Existence of Gibbsian point processes with geometry-dependent interactions (Q714961)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of Gibbsian point processes with geometry-dependent interactions |
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Existence of Gibbsian point processes with geometry-dependent interactions (English)
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12 October 2012
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For a general formalism of hypergraph interactions, the existence of a stationary Gibbsian point process is established. In particular, the existence of Gibbs Delaunay tessellations for non-bounded and hard-exclusion potentials is established.
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Gibbs measure
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hypergraphs
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Delaunay mosaic
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Voronoi tessellation
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entropy
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