Download this PDF file Fullscreen Fullscreen Off
References
- M. Aizenman, R. Sims, S.L. Starr. Mean-field Spin Glass Models from the Cavity-Rost Perspective. Prospects in mathematical physics 437 (2007), 1-30. Amer. Math. Soc., Providence, RI. MR2354653
- L.-P. Arguin, M. Aizenman. On the structure of quasi-stationary competing particles systems. arXiv: 0709.2901v1 [math.PR] (2007).
- E. Bolthausen, A.-S. Sznitman. On Ruelle's probability cascades and an abstract cavity method. Communications in Mathematical Physics 197 (1998), 247-276. MR1652734
- N.R. Chaganty, J. Sethuraman. Strong large deviation and local limit theorems. The Annals of Probability 21 (1993), 1671-1690. MR1235434
- D.J. Daley, D. Vere-Jones. An Introduction to the Theory of Point Processes (2003). 2nd ed. Springer, New York.
- A. Dembo, O. Zetouni. Large deviation techniques and applications (1998). 2nd ed. Springer, New York.
- J. Deny. Sur l'equation de convolution μ=μ*σ. Seminaire Brelot-Choquet-Deny. Theorie du potentiel 4 (1960), 1-11. Math. Review number not available.
- B. Derrida. Random-energy model: Limit of a family of disordered models. Physical Review Letters 45 (1980), 79-82. MR0575260
- J. Galambos. Advanced Probability Theory (1995). Marcel Dekker, Inc.
- M. Iltis. Sharp Asymptotics of Large Deviations in Rd, Journal of Theoretical Probability 8 (1995), 501-522. MR1340824
- M. Mezard, G. Parisi, M.A. Virasoro. Spin Glass Theory and Beyond (1987). World Scientific, Singapore.
- J. Miller. Quasi-stationary Random Overlap Structures and the Continuous Cascades. arXiv: 0806.1915v1 [math.PR] (2008).
- D. Ruelle. A mathematical reformulation of Derrida's REM and GREM. Communications in Mathematical Physics 108 (1987), 225-239. MR0875300
- A. Ruzmaikina, M. Aizenman. Characterization of invariant measures at the leading edge for competing particle systems. The Annals of Probability 338 (2005), 82-113. MR2118860
- M. Talagrand. Spin Glasses: A Challenge for Mathematicians (2003). Springer, Berlin.

This work is licensed under a Creative Commons Attribution 3.0 License.