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The Parisi formula

Michel Talagrand

Annals of Mathematics · 2006 · 411 citations · 7 references

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Abstract

Using Guerra's interpolation scheme, we compute the free energy of the Sherrington-Kirkpatrick model for spin glasses at any temperature, confirming a celebrated prediction of G. Parisi.

References

7

Solvable Model of a Spin-Glass

David C. Sherrington, Scott Kirkpatrick · Physical Review Letters · 1975 · 4.2K citations

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Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model

Francesco Guerra · Communications in Mathematical Physics · 2003 · 536 citations · Full text

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The Thermodynamic Limit in Mean Field Spin Glass Models

Communications in Mathematical Physics · 2002 · 291 citations · Full text

, , +5

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

Francesco Guerra, Fabio Lucio Toninelli · Journal of Mathematical Physics · 2002 · 64 citations · Full text

, , +15

Replica symmetry breaking and exponential inequalities for the Sherrington-Kirkpatrick model

Michel Talagrand · The Annals of Probability · 2000 · 23 citations · Full text

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