The Parisi ultrametricity conjecture
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[1] M. Aizenman,et al. On the structure of quasi-stationary competing particle systems , 2007, 0709.2901.
[2] G. Parisi. A sequence of approximated solutions to the S-K model for spin glasses , 1980 .
[3] Michel Talagrand,et al. Construction of pure states in mean field models for spin glasses , 2010 .
[4] M. Talagrand. The parisi formula , 2006 .
[5] M. Aizenman,et al. On the Stability of the Quenched State in Mean-Field Spin-Glass Models , 1997, cond-mat/9712129.
[6] S. Kirkpatrick,et al. Solvable Model of a Spin-Glass , 1975 .
[7] Giorgio Parisi,et al. Infinite Number of Order Parameters for Spin-Glasses , 1979 .
[8] M. Talagrand. Mean Field Models for Spin Glasses , 2011 .
[9] D. Panchenko. The Ghirlanda-Guerra identities for mixed p-spin model , 2010, 1002.2190.
[10] V. Sudakov,et al. Gram-de finetti matrices , 1984 .
[11] Giorgio Parisi,et al. The Nature of the Spin Glass Phase , 1987 .
[12] M. Mézard,et al. Replica symmetry breaking and the nature of the spin glass phase , 1984 .
[13] M. Talagrand,et al. Spin Glasses: A Challenge for Mathematicians , 2003 .
[14] M. Mézard,et al. Spin Glass Theory and Beyond , 1987 .
[15] F. Guerra,et al. General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity , 1998, cond-mat/9807333.
[16] F. Guerra. Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model , 2002, cond-mat/0205123.
[17] Tim Austin. Mean field models for spin glasses , 2012 .
[18] M. Talagrand. Advanced replica-symmetry and low temperature , 2011 .
[19] D. Panchenko. Ghirlanda-Guerra identities and ultrametricity: An elementary proof in the discrete case , 2011, 1106.3984.
[20] M. Mézard,et al. Nature of the Spin-Glass Phase , 1984 .
[21] D. Panchenko. A Unified Stability Property in Spin Glasses , 2011, 1106.3954.
[22] Dmitry Panchenko,et al. A connection between the Ghirlanda--Guerra identities and ultrametricity , 2008, 0810.0743.