High temperature Sherrington-Kirkpatrick model for general spins
Carmona, Philippe
HAL, hal-00128523 / Harvested from HAL
Francesco Guerra and Fabio Toninelli have developped a very powerful technique to study the high temperature behaviour of the Sherrington-Kirkpatrick mean field spin glass model. They show that this model is asymptoticaly comparable to a linear model. The key ingredient is a clever interpolation technique between the two different Hamiltonians describing the models. This paper contribution to the subject are the following: (1) The replica-symmetric solution holds for general spins, not just $\pm 1$ valued. (2) The proof does not involve cavitation but only first order differential calculus and Gaussian integration by parts.
Publié le : 2002-07-05
Classification:  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR]
@article{hal-00128523,
     author = {Carmona, Philippe},
     title = {High temperature Sherrington-Kirkpatrick model for general spins},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00128523}
}
Carmona, Philippe. High temperature Sherrington-Kirkpatrick model for general spins. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00128523/