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We prove laws of large numbers as well as central and non-central limit theorems for the Curie-Weiss model of magnetism.
1902
Earlier work this paper cites.
L. Breiman: Probability, Addison-Wesley 1968
1968
Earlier work this paper cites.
C. Thompson: Mathematical Statistical Mechanics, Macmillian Company (1972)
1972
Earlier work this paper cites.
Olver, Frank: Asymptotics and special functions, Academic Press (1974)
1974
Earlier work this paper cites.
Ellis, Richard; Newman, Charles: Limit Theorems for Sums of Dependent Random Variables Occurring in Statistical Mechanics, Z. Wahrsch. Verw. Gebiete, 44(2), pp. 117-139 (1978)
1978
Earlier work this paper cites.
Ellis, Richard; Newman, Charles: The Statistics of Curie-Weiss Models, J. Stat. Phys. 19(2), pp. 149-161 (1978)
1978
Earlier work this paper cites.
R. Ellis: Entropy, Large Deviations, and Statistical Mechanics, Springer (1985)
1985
Cited alongside, same era.
Contucci, Pierluigi and Ghirlanda, S.: Modelling Society with Statistical Mechanics: an Application to Cultural Contact and Immigration. Quality and Quantity, 41, 569-578 (2007)
2007
Cited alongside, same era.
W. Kirsch: On Penrose’s square root law and beyond, Homo Oeconomicus 24, 357–380, (2007)
2007
Cited alongside, same era.
Contucci, Pierluigi, Gallo, Ignacio: Bipartite Mean Field Spin Systems. Existence and Solution, Math. Phys. Elec. Jou. Vol 14, N.1, 1-22 (2008)
2008
Cited alongside, same era.
Fedele, Micaela; Contucci, Pierluigi: Scaling Limits for Multi-species Statistical Mechanics Mean-Field Models, J. Stat. Phys. 144:1186–1205 (2011)
2011
Cited alongside, same era.
Collet, Francesca: Macroscopic Limit of a Bipartite Curie-Weiss Model: A Dynamical Approach, J. Stat. Phys., 157(6), pp. 1301-1319 (2014)
2014
Later among the works it cites.
Fedele, Micaela: Rescaled Magnetization for Critical Bipartite Mean-Fields Models, J. Stat. Phys. 155:223–226 (2014)
2014
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W. Kirsch, J. Langner: The fate of the square root law for correlated voting, in:
2014
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W. Kirsch: A Mathematical View on Voting and Power, in:
2016
Later among the works it cites.
M. Löwe, K. Schubert: Fluctuations for block spin Ising models, Electron. Commun. Probab. 23 (2018), no. 53, 1–12
2018
Later among the works it cites.
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W. Kirsch: A Survey on the Method of Moments, available from http://www.fernuni-hagen.de/stochastik/
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