Spin Glass Computations and Ruelle’s Probability Cascades
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
http://link.springer.com/content/pdf/10.1007/s10955-006-9207-7.pdf
Reference16 articles.
1. M. Aizenman, J. Lebowitz, and D. Ruelle. Some rigorous results on the Sherrington-Kirkpatrick spin glass model. Comm. Math. Phys. 112:3–20 (1987).
2. M. Aizenman, R. Sims, and S. Starr. An extended variational principle for the SK Spin-Glass Model. Phys. Rev. B 68:214403 (2003).
3. M. Aizenman, R. Sims, and S. Starr. Mean field spin glass models from the cavity-rost perspective. preprint 2006, arXiv:math-ph/0607060.
4. E. Bolthausen and A.-S. Sznitman. On Ruelle's probability cascades and an abstract cavity method. Comm. Math. Phys. 197:247–276 (1998).
5. B. Derrida. Random-energy model: Limit of a family of disordered models. Phys. Rev. Lett. 45:79–82 (1981); B. Derrida. Random-energy model: An exactly solvable model of disordered systems. Phys. Rev. B 24:2613–2626 (1981); B. Derrida. A generalization of the random energy model which includes correlations between energies. J. Phys. Lett. 46:L401–L407 (1985).
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