Ground States for Exponential Random Graphs

Authors

Rajinder Mavi, Michigan State University
Mei Yin, University of DenverFollow

Publication Date

1-2018

Document Type

Article

Organizational Units

Mathematics

Keywords

Probability theory, Perturbation analysis, Metric geometry, Algebraic geometry, Perturbation theory, Statistical thermodynamics, Cognitive science, Phase transitions, Free energy, Entropy

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.