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References

  • Guerra, Francesco; Toninelli, Fabio Lucio. Central limit theorem for fluctuations in the high temperature region of the Sherrington-Kirkpatrick spin glass model. J. Math. Phys. 43 (2002), no. 12, 6224--6237. MR1939641
  • Guerra, Francesco. Broken replica symmetry bounds in the mean field spin glass model. Comm. Math. Phys. 233 (2003), no. 1, 1--12. MR1957729
  • Guerra, Francesco; Toninelli, Fabio Lucio. Quadratic replica coupling in the Sherrington-Kirkpatrick mean field spin glass model. J. Math. Phys. 43 (2002), no. 7, 3704--3716. MR1908695
  • Guerra, Francesco; Toninelli, Fabio Lucio. The thermodynamic limit in mean field spin glass models. Comm. Math. Phys. 230 (2002), no. 1, 71--79. MR1930572
  • Petrov, Valentin V. Limit theorems of probability theory. Sequences of independent random variables. Oxford Studies in Probability, 4. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1995. xii+292 pp. ISBN: 0-19-853499-X MR1353441
  • Sherrington D., Kirkpatrick S., Solvable model of a spin glass. Phys. Rev. Lett. 35 (1972), 1792 - 1796.
  • Talagrand, Michel. New concentration inequalities in product spaces. Invent. Math. 126 (1996), no. 3, 505--563. MR1419006
  • Talagrand, Michel. On the high temperature phase of the Sherrington-Kirkpatrick model. Ann. Probab. 30 (2002), no. 1, 364--381. MR1894111
  • Talagrand, Michel. On the high temperature region of the Sherrington-Kirkpatrick model. C. R. Acad. Sci. Paris Sér. I Math. 332 (2001), no. 2, 177--182. MR1813778
  • Talagrand, Michel. Replica symmetry breaking and exponential inequalities for the Sherrington-Kirkpatrick model. Ann. Probab. 28 (2000), no. 3, 1018--1062. MR1797303
  • Talagrand, Michel. The Sherrington-Kirkpatrick model: a challenge for mathematicians. Probab. Theory Related Fields 110 (1998), no. 2, 109--176. MR1609019
  • Talagrand, Michel. Spin glasses: a challenge for mathematicians. Cavity and mean field models. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics], 46. Springer-Verlag, Berlin, 2003. x+586 pp. ISBN: 3-540-00356-8 MR1993891
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