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Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model

- F. Guerra
- Mathematics
- 7 May 2002

Abstract: By using a simple interpolation argument, in previous work we have proven the existence of the thermodynamic limit, for mean field disordered models, including the Sherrington-Kirkpatrick… Expand

Spin Glasses

- F. Guerra
- Physics
- 25 July 2005

From a physical point of view, spin glasses, as dilute magnetic alloys, are very interesting systems. They are characterized by such features as exhibiting a new magnetic phase, where magnetic… Expand

The Thermodynamic Limit in Mean Field Spin Glass Models

- F. Guerra, F. Toninelli
- Mathematics
- 12 April 2002

Abstract: We present a simple strategy in order to show the existence and uniqueness of the infinite volume limit of thermodynamic quantities, for a large class of mean field disordered models, as… Expand

Ju l 1 99 8 General properties of overlap probability distributions in disordered spin systems

- S. Ghirlanda, F. Guerra
- Physics
- 1998

For a very general class of probability distributions in disordered Ising spin systems, in the thermodynamical limit, we prove the following property for overlaps among real replicas. Consider the… Expand

Quantization of Dynamical Systems and Stochastic Control Theory

- F. Guerra, L. M. Morato
- Physics
- 15 April 1983

In the general framework of stochastic control theory we introduce a suitable form of stochastic action associated to the controlled process. A variational principle gives all the main features of… Expand

Structural aspects of stochastic mechanics and stochastic field theory

- F. Guerra
- Physics
- 1 November 1981

Quadratic replica coupling in the Sherrington-Kirkpatrick mean field spin glass model

- F. Guerra, Fabio L. Toninelli University of Rome 'La Sapienza', Infn, R. S. N. S. D. Pisa, Pisa
- Physics
- 8 January 2002

We develop a very simple method to study the high temperature, or equivalently high external field, behavior of the Sherrington–Kirkpatrick mean field spin glass model. The basic idea is to couple… Expand

The infinite volume limit in generalized mean field disordered models

- F. Guerra, Fabio L. Toninelli University of Rome 'La Sapienza', Infn, Romé, Scuola Normale Superiore Pisa, Pisa
- Physics
- 29 August 2002

We generalize the strategy, we recently introduced to prove the existence of the thermodynamic limit for the Sherrington-Kirkpatrick and p-spin models, to a wider class of mean field spin glass… Expand

The High Temperature Region of the Viana–Bray Diluted Spin Glass Model

- F. Guerra, F. Toninelli
- Mathematics
- 20 February 2003

In this paper, we study the high temperature or low connectivity phase of the Viana–Bray model in the absence of magnetic field. This is a diluted version of the well known Sherrington–Kirkpatrick… Expand

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