Bounds for diluted mean-fields spin glass models

Probability Theory and Related Fields

Volumn 130, Issue 3, 2004, Pages 319-336

  Panchenko, Dmitry ^a   Talagrand, Michel ^b,c  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b INSTITUT DE MATHÉMATIQUES DE JUSSIEU   (France)

^c OHIO STATE UNIVERSITY   (United States)

Author keywords

Spin glasses

Indexed keywords

EID: 8744274369     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-004-0342-2     Document Type: Article

References (12)

1. Aizenman, M., Sims, R., Starr, S.: An extended variational principle for the SK spin-glass model. arXiv:cond-mat/0306386, 2003
2. Franz, S., Leone, M.: Replica bounds for optimization problems and diluted spin systems. J. Statist. Phys. 111 (3-4), 535-564 (2003)
3. Guerra, F.: Broken replica symmetry bounds in the mean field spin glass model. Comm. Math. Phys. 233 (1), 1-12 (2003)
4. Kanter, I., Sompolinsky, H.: Mean-field theory of spin-glasses with finite coordination number. Phys. Rev. Lett. 58, 164 (1987)
5. Mézard, M., Parisi, G., Virasoro, M.A.: Spin Glass Theory and Beyond. World Scientific, 1987
6. Mézard, M., Parisi, G.: The Bethe lattice spin glass revisited. Eur. Phys. J. B Condens. Matter Phys. 20 (2), 217-233 (2001)
7. Mézard, M., Ricci-Tersenghi, F., Zecchina, R.: Two solutions to diluted p-spin models and XORSAT problems. J. Statist. Phys. 111 (3-4), 505-533 (2003)
8. Ruelle, D.: A mathematical reformulation of Derrida's REM and GREM. Comm. Math. Phys. 108 (2), 225-239 (1987)
9. Talagrand, M.: The high temperature case for the random K-sat problem. Probab. Theor. Related Fields 119 (2), 187-212 (2001)
10. Talagrand, M.: Spin Glasses: a Challenge for Mathematicians. Springer-Verlag, 2003
11. Talagrand, M.: On Guerra's broken replica-symmetry bound. To appear 2003
12. Talagrand, M.: The generalized Parisi formula. C. R. Math. Acad. Sci. Paris 337 (2), 111-114 (2003)