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A Solidification Phenomenon in Random Packings

Lewis Bowen·Russell Lyons·Charles Radin·Peter Winkler
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Abstract

We prove that uniformly random packings of copies of a certain simply-connected figure in the plane exhibit global connectedness at all sufficiently high densities, but not at low densities.

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Lewis Bowen, Russell Lyons, Charles Radin, Peter Winkler. 2005-12-28. A Solidification Phenomenon in Random Packings. https://arxiv.org/abs/cond-mat/0512686

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