Phase transitions in exponential random graphs

Charles Radin; Mei Yin

doi:10.1214/12-AAP907

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Home > Journals > Ann. Appl. Probab. > Volume 23 > Issue 6 > Article

December 2013 Phase transitions in exponential random graphs

Charles Radin, Mei Yin

Ann. Appl. Probab. 23(6): 2458-2471 (December 2013). DOI: 10.1214/12-AAP907

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Abstract

We derive the full phase diagram for a large family of two-parameter exponential random graph models, each containing a first order transition curve ending in a critical point.

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Charles Radin. Mei Yin. "Phase transitions in exponential random graphs." Ann. Appl. Probab. 23 (6) 2458 - 2471, December 2013. https://doi.org/10.1214/12-AAP907

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Published: December 2013

First available in Project Euclid: 22 October 2013

zbMATH: 1278.05225

MathSciNet: MR3127941

Digital Object Identifier: 10.1214/12-AAP907

Subjects:

Primary: 05C80

Secondary: 82B26

Keywords: dense random graphs , Graph limits , Phase transitions

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Ann. Appl. Probab.

Vol.23 • No. 6 • December 2013

Institute of Mathematical Statistics

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Charles Radin, Mei Yin "Phase transitions in exponential random graphs," The Annals of Applied Probability, Ann. Appl. Probab. 23(6), 2458-2471, (December 2013)

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