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Condensed Matter
Statistical Mechanics
A Solidification Phenomenon in Random Packings
Lewis Bowen
,
Russell Lyons
,
Charles Radin
,
Peter Winkler
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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Submitted on 28 Dec 2005
Updated
arXiv.org
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