On a model of random cycles
classification
❄️ cond-mat.stat-mech
math-phmath.MPmath.PR
keywords
cyclesmodelpermutationsrandomsitesconsidercubicevidence
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We consider a model of random permutations of the sites of the cubic lattice. Permutations are weighted so that sites are preferably sent onto neighbors. We present numerical evidence for the occurrence of a transition to a phase with infinite, macroscopic cycles.
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