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arXiv · 1710.11407

Continuum percolation for Cox point processes

Christian Hirsch·Benedikt Jahnel·Elie Cali
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Abstract

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.

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Christian Hirsch, Benedikt Jahnel, Elie Cali. 2017-10-31. Continuum percolation for Cox point processes. https://arxiv.org/abs/1710.11407

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