A Percolating Hard Sphere Model
classification
🧮 math.PR
keywords
spheresansweraskedcentredcomponentdifferingdimensiongiven
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Given a homogeneous Poisson point process in R^d, Haggstrom and Meester asked whether it is possible to place spheres (of differing radii) centred at the points, in a translation-invariant way, so that the spheres do not overlap but there is an unbounded component of touching spheres. We prove that the answer is yes in sufficiently high dimension.
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