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1 Online-Ressource (28 Seiten, 439 kB)
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Series Statement:
Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik no. 2445
Content:
We investigate continuum percolation for Cox point processes, that is, Poisson point processes driven by random intensity measures. First, we derive sufficient conditions for the existence of non-trivial sub- and super-critical percolation regimes based on the notion of stabilization. Second, we give asymptotic expressions for the percolation probability in large-radius, high-density and coupled regimes. In some regimes, we find universality, whereas in others, a sensitive dependence on the underlying random intensity measure survives.
Note:
Literaturverzeichnis: Seite 25-26
Language:
English
Keywords:
Forschungsbericht
DOI:
10.20347/WIAS.PREPRINT.2445
URL:
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