Abstract
When a natural numberN is large enough, a weak concentration property of theN-spin SK-models is obtained for cylindrical sets.
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M. Talagrand. Huge Random Structures and Mean Field Models for Spin Glasses. Proceeding of the International Congress of Mathematicians, Berlin, 1998
M. Talagrand. The Sherrington-Kirpatrick Model: a Challenge for Mathematicians.Prob. Th. Rel. Fields., 1998, 110: 109–176
K. Marton. A Measure Concentration Inequality for Contracting Markov Chains.Geom. Funct. Anal., 1996, 6: 556–571
K. Marton. Erratum to “A Measure Concentration Inequality for Contracting Markov Chains”.Geom. Funct. Anal., 1997, 7: 609–613
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This research is supported in part by the National Natural Science Foundation of China, Tianyuan Foundation, and the Mathematical Center of, Ministry of Education.
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Chuanzhong, C., Kainan, X. The weak concentration of the SK-model. Acta Mathematicae Applicatae Sinica 17, 140–144 (2001). https://doi.org/10.1007/BF02669694
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DOI: https://doi.org/10.1007/BF02669694