DOI: 10.1007/bf01210613. A mathematical reformulation of Derrida's REM and GREM

A mathematical reformulation of Derrida's REM and GREM

10.1007/bf01210613

Crossref journal-article

Springer Science and Business Media LLC

Communications in Mathematical Physics (297)

Bibliography

Ruelle, D. (1987). A mathematical reformulation of Derridaâs REM and GREM. Communications in Mathematical Physics, 108(2), 225â239.

Authors 1

David Ruelle (first)

References 14 Referenced 135

Bourbaki, N.: Elements de mathématique,Livre VI. Intégration, chapitres 1, 2, 3, et 4, A.S.I. 1175, Paris: Hermann 1965 / Elements de mathématique,Livre VI. Intégration, chapitres 1, 2, 3, et 4, A.S.I. 1175 by N. Bourbaki (1965)
Derrida, B.: Random-energy model: Limit of a family of disordered models. Phys. Rev. Lett.45, 79?82 (1980) (10.1103/PhysRevLett.45.79) / Phys. Rev. Lett. by B. Derrida (1980)
Derrida, B.: Random-energy model: An exactly solvable model of disordered systems. Phys. Rev.B24, 2613?2626 (1981) (10.1103/PhysRevB.24.2613) / Phys. Rev. by B. Derrida (1981)
Derrida, B.: A generalization of the random energy model which includes correlations between energies. J. Phys. Lett.46, L-401?L-407 (1985) (10.1051/jphyslet:01985004609040100) / J. Phys. Lett. by B. Derrida (1985)
Derrida, B., Gardner, E.: Solution of the generalized random energy model, J. Phys. C. In press (1986) (10.1088/0022-3719/19/13/015)
Derrida, B., Toulouse, G.: Sample to sample fluctuations in the random energy model. J. Phys. Lett.46, L-223?L228 (1985) (10.1051/jphyslet:01985004606022300) / J. Phys. Lett. by B. Derrida (1985)
de Dominicis, C., Hilhorst, H.: Random (free) energies in spin glasses, J. Phys. Lett.46, L-909?L-914 (1985) (10.1051/jphyslet:019850046019090900) / J. Phys. Lett. by C. Dominicis de (1985)
Kirkpatrick, S., Sherrington, D.: Infinite-ranged models of spin-glasses, Phys. Rev.B17, 4384?4403 (1978) (10.1103/PhysRevB.17.4384) / Phys. Rev. by S. Kirkpatrick (1978)
Mézard, M., Parisi, G., Sourlas, N., Toulouse, G., Virasoro, M.: Replica symmetry breaking and the nature of the spin glass phase. J. Phys.45, 843?854 (1984) (10.1051/jphys:01984004505084300) / J. Phys. by M. Mézard (1984)
Mézard, M., Parisi, G., Virasoro, M.: Random free energies in spin glasses. J. Phys. Lett.46, L-217?L-222 (1985) (10.1051/jphyslet:01985004606021700) / J. Phys. Lett. by M. Mézard (1985)
Mézard, M., Parisi, G., Virasoro, M.: SK model: The replica solution without replicas, Europhys. Lett.1, 77?82 (1986) (10.1209/0295-5075/1/2/006) / Europhys. Lett. by M. Mézard (1986)
Parisi, G.: Infinite number of order parameters for spin-glasses. Phys. Rev. Lett.43, 1754?1756 (1979) (10.1103/PhysRevLett.43.1754) / Phys. Rev. Lett. by G. Parisi (1979)
Parisi, G.: Order parameter for spin-glasses. Phys. Rev. Lett.50, 1946?1948 (1983) (10.1103/PhysRevLett.50.1946) / Phys. Rev. Lett. by G. Parisi (1983)
Sherrington, D., Kirkpatrick, S.: Solvable model of a spin-glass. Phys. Rev. Lett.35, 1792?1796 (1975) (10.1103/PhysRevLett.35.1792) / Phys. Rev. Lett. by D. Sherrington (1975)

Dates

Type	When
Created	20 years, 6 months ago (Feb. 25, 2005, 4 p.m.)
Deposited	5 years, 4 months ago (April 5, 2020, 7:45 p.m.)
Indexed	3 weeks, 5 days ago (Aug. 2, 2025, 12:01 a.m.)
Issued	38 years, 2 months ago (June 1, 1987)
Published	38 years, 2 months ago (June 1, 1987)
Published Print	38 years, 2 months ago (June 1, 1987)

Funders 0

None

BibTeX

@article{Ruelle_1987, title={A mathematical reformulation of Derrida’s REM and GREM}, volume={108}, ISSN={1432-0916}, url={http://dx.doi.org/10.1007/bf01210613}, DOI={10.1007/bf01210613}, number={2}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Ruelle, David}, year={1987}, month=jun, pages={225–239} }

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