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cond-mat.stat-mech2005
A Solidification Phenomenon in Random Packings
Lewis Bowen, Russell Lyons, Charles Radin +1
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…
cond-mat.stat-mech2005
Fluid/solid transition in a hard-core system
Lewis Bowen, Russell Lyons, Charles Radin +1
We prove that a system of particles in the plane, interacting only with a certain hard-core constraint, undergoes a fluid/solid phase transition.