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Boolean Percolation on Doubling Graphs
Coletti, Cristian F....
Boolean Percolation on Doubling Graphs by Coletti, Cristian F. ( Author )
Australian National University
06-09-2023
We consider the discrete Boolean model of percolation on graphs satisfying a doubling metric condition. We study sufficient conditions on the distribution of the radii of balls placed at the points of a Bernoulli point process for the absence of percolation, provided that the retention parameter of the underlying point process is small enough. We exhibit three families of interesting graphs where the main result of this work holds. Finally, we give sufficient conditions for ergodicity of the discrete Boolean model of percolation.
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Article
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29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1410.5347
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