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
An infinite-ranged Ising spin glass model with spin S, including S = ∞, with uniform biquadratic int...
Following an original idea of Guerra, in these notes we analyze the Sherrington-Kirkpatrick model fr...
The behavior of the nonlinear susceptibility χ3 and its relation to the spin-glass transition temper...
Francesco Guerra and Fabio Toninelli have developped a very powerful technique to study the high tem...
The mean-field theory of spin-glasses is a solvable model which shows the existence of a new kind of...
We study the Kac version of the Sherrington-Kirkpatrick (SK) model of a spin glass, i.e. a spin glas...
We develop a simple method to study the high temperature, or high external field, behavior of the Sh...
Abstract. We prove that in the high temperature regime (T/J > 1) the deviation of the total free ...
We investigate a mean field theory of the Sherrington Kirpatrick model of the Ising spin glass. This...
We consider the Sherrington-Kirkpatrick model and we prove that the quenched free energy per spin is...
Interpolation techniques have become, in the past decades, a powerful approach to describe several p...
We introduce a Sherrington-Kirkpatrick spin-glass model with the addition of elastic degrees of free...
In this paper, we study the high temperature or low connectivity phase of the Viana–Bray model in th...
An expansion for the free energy functional of the Sherrington–Kirkpatrick (SK) model, around the re...
9 pagesWe show that the limiting free energy in Sherrington-Kirkpatrick's Spin Glass Model does not ...
An infinite-ranged Ising spin glass model with spin S, including S = ∞, with uniform biquadratic int...
Following an original idea of Guerra, in these notes we analyze the Sherrington-Kirkpatrick model fr...
The behavior of the nonlinear susceptibility χ3 and its relation to the spin-glass transition temper...
Francesco Guerra and Fabio Toninelli have developped a very powerful technique to study the high tem...
The mean-field theory of spin-glasses is a solvable model which shows the existence of a new kind of...
We study the Kac version of the Sherrington-Kirkpatrick (SK) model of a spin glass, i.e. a spin glas...
We develop a simple method to study the high temperature, or high external field, behavior of the Sh...
Abstract. We prove that in the high temperature regime (T/J > 1) the deviation of the total free ...
We investigate a mean field theory of the Sherrington Kirpatrick model of the Ising spin glass. This...
We consider the Sherrington-Kirkpatrick model and we prove that the quenched free energy per spin is...
Interpolation techniques have become, in the past decades, a powerful approach to describe several p...
We introduce a Sherrington-Kirkpatrick spin-glass model with the addition of elastic degrees of free...
In this paper, we study the high temperature or low connectivity phase of the Viana–Bray model in th...
An expansion for the free energy functional of the Sherrington–Kirkpatrick (SK) model, around the re...
9 pagesWe show that the limiting free energy in Sherrington-Kirkpatrick's Spin Glass Model does not ...
An infinite-ranged Ising spin glass model with spin S, including S = ∞, with uniform biquadratic int...
Following an original idea of Guerra, in these notes we analyze the Sherrington-Kirkpatrick model fr...
The behavior of the nonlinear susceptibility χ3 and its relation to the spin-glass transition temper...