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A symmetry breaking transition in the edge/triangle network model (1604.07929v1)
Published 27 Apr 2016 in math.CO, cond-mat.stat-mech, cs.SI, and math.PR
Abstract: Our general subject is the emergence of phases, and phase transitions, in large networks subjected to a few variable constraints. Our main result is the analysis, in the model using edge and triangle subdensities for constraints, of a sharp transition between two phases with different symmetries, analogous to the transition between a fluid and a crystalline solid.
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