Critical phenomena in exponential random graphs

DOI10.1007/s10955-013-0874-xzbMath1285.82024arXiv1208.2992OpenAlexW2066429801MaRDI QIDQ2440350

Mei Yin

Publication date: 18 March 2014

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2992

zbMATH Keywords

phase transitionscritical phenomenaexponential random graphs

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Phase transitions (general) in equilibrium statistical mechanics (82B26) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (17)

Reciprocity in directed networks ⋮ A detailed investigation into near degenerate exponential random graphs ⋮ Asymptotic structure of constrained exponential random graph models ⋮ Multipodal structure and phase transitions in large constrained graphs ⋮ On the Lower Tail Variational Problem for Random Graphs ⋮ Estimating and understanding exponential random graph models ⋮ A survey of discrete methods in (algebraic) statistics for networks ⋮ Perspectives on exponential random graphs ⋮ Asymptotic structure and singularities in constrained directed graphs ⋮ Ensemble equivalence for dense graphs ⋮ Phase transitions in edge-weighted exponential random graphs: near-degeneracy and universality ⋮ On the asymptotics of constrained exponential random graphs ⋮ Approximating stationary distributions of fast mixing Glauber dynamics, with applications to exponential random graphs ⋮ On the phase transition curve in a directed exponential random graph model ⋮ An introduction to large deviations for random graphs ⋮ Mixing time of vertex-weighted exponential random graphs ⋮ Ground states for exponential random graphs

Cites Work

• Phase transitions in exponential random graphs
• Mixing time of exponential random graphs
• Limits of dense graph sequences
• On the geometry of discrete exponential families with application to exponential random graph models
• Estimating and understanding exponential random graph models
• Emergent Structures in Large Networks
• Markov Graphs
• An Exponential Family of Probability Distributions for Directed Graphs
• Phase transition in the random triangle model
• Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation
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