Ground States for Exponential Random Graphs
Probability theory, Perturbation analysis, Metric geometry, Algebraic geometry, Perturbation theory, Statistical thermodynamics, Cognitive science, Phase transitions, Free energy, Entropy
College of Natual Science and Mathematics, Mathematics
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.
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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.