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arxiv: cond-mat/0512686 · v1 · submitted 2005-12-28 · ❄️ cond-mat.stat-mech

A Solidification Phenomenon in Random Packings

classification ❄️ cond-mat.stat-mech
keywords densitiespackingsrandomcertainconnectednesscopiesexhibitfigure
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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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