2016/04/27 by Charles Radin, Kui Ren, Radin, Charles +3
Computer Science · Mathematics · Physics and Astronomy · #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Probability (math.PR) #Social and Information Networks (cs.SI) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #cs.SI #math.CO #math.PR
paper · pdf · doi:10.48550/arxiv.1604.07929
arxiv created 2016/04/27 · arxiv updated 2017/03/16
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.