Samenvatting
We investigate the maximal degree in a Poisson-Delaunay graph in Rd , d ≥ 2, over all nodes in the window Wρ := ρ1/d [0, 1]d as ρ goes to infinity. The exact order of this maximum is provided in any dimension. In the particular setting d = 2, we show that this quantity is concentrated on two consecutive integers with high probability. A weaker version of this result is discussed when d ≥ 3.
Originele taal-2 | English |
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Pagina's (van-tot) | 948-979 |
Aantal pagina's | 32 |
Tijdschrift | Bernoulli |
Volume | 26 |
Nummer van het tijdschrift | 2 |
DOI's | |
Status | Published - 2020 |
Extern gepubliceerd | Ja |