| Autor: |
Heerten, Nils, Krecklenberg, Julia, Thäle, Christoph |
| Předmět: |
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| Zdroj: |
Journal of Applied Probability; Mar2024, Vol. 61 Issue 1, p214-229, 16p |
| Abstrakt: |
Stationary Poisson processes of lines in the plane are studied, whose directional distributions are concentrated on $k\geq 3$ equally spread directions. The random lines of such processes decompose the plane into a collection of random polygons, which form a so-called Poisson line tessellation. The focus of this paper is to determine the proportion of triangles in such tessellations, or equivalently, the probability that the typical cell is a triangle. As a by-product, a new deviation of Miles's classical result for the isotropic case is obtained by an approximation argument. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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