Wigner surmises and the two-dimensional Poisson-Voronoi tessellation
| Autor: | John M. Nieminen, Lutz Muche |
|---|---|
| Přispěvatelé: | Publica |
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Discrete mathematics
Stochastic process Mathematical analysis Statistical and Nonlinear Physics Computer Science::Computational Geometry Poisson distribution symbols.namesake Probability theory Intersection Line (geometry) symbols Centroidal Voronoi tessellation Voronoi diagram Random matrix Mathematical Physics Mathematics |
| Popis: | Consider the set of points defined by the intersection of a one-dimensional (random) line and a Voronoi tessellation generated by a two-dimensional homogeneous Poisson point process. We show that the nearest-neighbor and higher-order spacing statistics between this set of points and the Poisson points that were used to generate the Voronoi tessellation are given by the Wigner surmises of random matrix theory (with even-integer values of the level-repulsion parameter), when appropriate normalizations are implemented. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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