A symmetry breaking transition in the edge/triangle network model
Annales de l’Institut Henri Poincaré D, Tome 5 (2018) no. 2, pp. 251-286.

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.

Accepté le :
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DOI : 10.4171/aihpd/54
Classification : 05-XX, 82-XX
Mots-clés : Graph limits, entropy, bipodal structure, phase transitions, symmetry breaking 
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     author = {Radin, Charles and Ren, Kui and Sadun, Lorenzo},
     title = {A symmetry breaking transition in the edge/triangle network model},
     journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D},
     pages = {251--286},
     volume = {5},
     number = {2},
     year = {2018},
     doi = {10.4171/aihpd/54},
     mrnumber = {3813216},
     zbl = {1390.05218},
     language = {en},
     url = {http://www.numdam.org/articles/10.4171/aihpd/54/}
}
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Radin, Charles; Ren, Kui; Sadun, Lorenzo. A symmetry breaking transition in the edge/triangle network model. Annales de l’Institut Henri Poincaré D, Tome 5 (2018) no. 2, pp. 251-286. doi : 10.4171/aihpd/54. http://www.numdam.org/articles/10.4171/aihpd/54/

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