5 citations · 9 across the 4 of their papers we have counts for
4 papers
Many-sided Poisson-Voronoi cells with only Gabriel neighbors
H. J. Hilhorst
Let be the probability for a planar Poisson-Voronoi cell to be -sided {\it and\,} have only Gabriel neighbors. Using an exact coordinate transformation followed by scali…
From prelife to life: a bio-inspired toy model
H. J. Hilhorst
We study a one-dimensional lattice of sites each occupied by a mathematical "polymer," that is, is a binary random sequence of arbitrary length , or equivalently, a rooted p…
Large-n conditional facedness m_n of 3D Poisson-Voronoi cells
H. J. Hilhorst
We consider the three-dimensional Poisson-Voronoi tessellation and study the average facedness m_n of a cell known to neighbor an n-faced cell. Whereas Aboav's law states that m_n=…
The perimeter of large planar Voronoi cells: a double-stranded random walk
H. J. Hilhorst
Let be the probability for a planar Poisson-Voronoi cell to have exactly sides. We construct the asymptotic expansion of up to terms that vanish as $n\to\inf…