Ising models on locally tree-like graphs

Griffiths, Robert B.R. B., Hurst, C. A.C. A. andSherman, S.S. (1970). Concavity of magnetization of an Ising ferromagnet in a positive external field. J. Math. Phys. 11 790–795

1970

Earlier work this paper cites.

Ellis, Richard S.R. S. andNewman, Charles M.C. M. (1978). The statistics of Curie–Weiss models. J. Statist. Phys. 19 149–161

1978

Earlier work this paper cites.

Bollobás, BélaB. (1980). A probabilistic proof of an asymptotic formula for the number of labelled regular graphs. European J. Combin. 1 311–316

1980

Earlier work this paper cites.

Simon, BarryB. (1980). Correlation inequalities and the decay of correlations in ferromagnets. Comm. Math. Phys. 77 111–126

1980

Earlier work this paper cites.

Liggett, Thomas M.T. M. (1985). Interacting Particle Systems. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences] 276. Springer, New York

1985

Earlier work this paper cites.

Jerrum, M.M. andSinclair, A.A. (1990). Polynomial-time approximation algorithms for the Ising model. In Automata, Languages and Programming. Lecture Notes in Computer Science 443 462–475. Springer, New York

1990

Earlier work this paper cites.

Dembo, AmirA. andZeitouni, OferO. (1998). Large Deviations Techniques and Applications, 2nd ed. Applications of Mathematics (New York) 38. Springer, New York

1998

Earlier work this paper cites.

Johnston, D. A.D. A. andPlecháč, P.P. (1998). Equivalence of ferromagnetic spin models on trees and random graphs. J. Phys. A 31 475–482

1998

Earlier work this paper cites.

Jonasson, JohanJ. andSteif, Jeffrey E.J. E. (1999). Amenability and phase transition in the Ising model. J. Theoret. Probab. 12 549–559

1999

Earlier work this paper cites.

Evans, WilliamW., Kenyon, ClaireC., Peres, YuvalY. andSchulman, Leonard J.L. J. (2000). Broadcasting on trees and the Ising model. Ann. Appl. Probab. 10 410–433

2000

Cited alongside, same era.

Janson, SvanteS., Łuczak, TomaszT. andRucinski, AndrzejA. (2000). Random Graphs. Wiley, New York

2000

Cited alongside, same era.

Lyons, RussellR. (2000). Phase transitions on nonamenable graphs. J. Math. Phys. 41 1099–1126

2000

Cited alongside, same era.

Dorogovtsev, S. N.S. N., Goltsev, A. V.A. V. andMendes, J. F. F.J. F. F. (2002). Ising model on networks with an arbitrary distribution of connections. Phys. Rev. E 66 016104

2002

Cited alongside, same era.

Leone, M.M., Vázquez, A.A., Vespignani, A.A. andZecchina, R.R. (2002). Ferromagnetic ordering in graphs with arbitrary degree distribution. Eur. Phys. J. B 28 191–197

2002

Cited alongside, same era.

Bandyopadhyay, AntarA. andGamarnik, DavidD. (2007). Counting without sampling. New algorithms for enumeration problems using statistical physics. In Proceedings of the Seventeenth Annual ACM–SIAM Symposium on Discrete Algorithms 890–899. ACM, New York

2007

Later among the works it cites.

Gerschenfeld, A.A. andMontanari, A.A. (2007). Reconstruction for models on random graphs. In Proceedings of the 48th Annual Symposium on Foundations of Computer Science 194–204. IEEE, New York

2007

Later among the works it cites.

Krza̧kała, FlorentF., Montanari, AndreaA., Ricci-Tersenghi, FedericoF., Semerjian, GuilhemG. and Zdeborová, LenkaL

2007

Later among the works it cites.

De Sanctis, LucaL. andGuerra, FrancescoF. (2008). Mean field dilute ferromagnet: High temperature and zero temperature behavior. J. Stat. Phys. 132 759–785

2008

Closest in time.