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Spin Glass Theory and Beyond
- M. Mézard, G. Parisi, M. Virasoro, D. Thouless
- Physics
- 1987
This book contains a detailed and self-contained presentation of the replica theory of infinite range spin glasses. The authors also explain recent theoretical developments, paying particular…
Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study
- M. Ballerini, N. Cabibbo, V. Zdravkovic
- BiologyProceedings of the National Academy of Sciences
- 12 September 2007
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Brownian motion
- G. Parisi
- PhysicsNature
- 2005
“I did not believe that it was possible to study the Brownian motion with such a precision.” From a letter from Albert Einstein to Jean Perrin (1909).
Planar diagrams
- E. Brézin, C. Itzykson, G. Parisi, J. Zuber
- Physics, Mathematics
- 1978
We investigate the planar approximation to field theory through the limit of a large internal symmetry group. This yields an alternative and powerful method to count planar diagrams. Results are…
The Bethe lattice spin glass revisited
Abstract:So far the problem of a spin glass on a Bethe lattice has been solved only at the replica symmetric level, which is wrong in the spin glass phase. Because of some technical difficulties,…
Spin Glass Theory And Beyond: An Introduction To The Replica Method And Its Applications
- M. Mézard, G. Parisi, M. Virasoro
- Physics
- 1 November 1986
Simulated tempering: a new Monte Carlo scheme
- E. Marinari, G. Parisi
- Physics
- 22 May 1992
We propose a new global optimization method (Simulated Tempering) for simulating effectively a system with a rough free-energy landscape (i.e., many coexisting states) at finite nonzero temperature.…
Analytic and Algorithmic Solution of Random Satisfiability Problems
- M. Mézard, G. Parisi, R. Zecchina
- Computer ScienceScience
- 27 June 2002
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