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

College of Natual Science and Mathematics, 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

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