On phase transition in the hard-core model on \bf Z^d

2012/06/14 by Galvin, David, Kahn, Jeff · 1 citation
#05C70 (Secondary) #82B20 #82B26 (Primary) 05A16 #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1206.3144

Abstract

It is shown that the hard-core model on \bf Z^d exhibits a phase transition at activities above some function λ(d) which tends to zero as d→ ∞

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