The longest edge in discrete and continuous long-range percolation

We consider the random connection model in which an edge between two Poisson points at distance \(r\) is present with probability \(g(r)\). We conduct an extreme value analysis on this model, namely by investigating the longest edge with at least one endpoint within some finite observation window, a...

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Veröffentlicht in:	arXiv.org 2024-06
Hauptverfasser:	Rousselle, Arnaud, Sönmez, Ercan
Format:	Artikel
Sprache:	eng
Schlagworte:	Extreme values Mathematics - Probability Normalizing Percolation
Online-Zugang:	Volltext
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