Title
Ground States for Exponential Random Graphs
Document Type
Article
Publication Date
1-2018
Keywords
Probability theory, Perturbation analysis, Metric geometry, Algebraic geometry, Perturbation theory, Statistical thermodynamics, Cognitive science, Phase transitions, Free energy, Entropy
Organizational Units
Mathematics
Abstract
We propose a perturbative method to estimate the normalization constant in exponential random graph models as the weighting parameters approach infinity. As an application, we give evidence of discontinuity in natural parametrization along the critical directions of the edge-triangle model.
Publication Statement
Copyright held by author or publisher. User is responsible for all copyright compliance.
Recommended Citation
Mavi, Rajinder, and Yin, Mei. “Ground States for Exponential Random Graphs.” Journal of Mathematical Physics, vol. 59, no. 1, 2018, p. 13303. doi: 10.1063/1.4997428.