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The Sherrington–Kirkpatrick model: a challenge for mathematicians


The Sherrington–Kirkpatrick (SK) model for spin glasses is deceptively simple to state. Yet its rigorous study represents a considerable challenge. We report here some modest progresses (obtained through elementary methods). Even in the supposedly simple high temperature region, a number of basic questions remain unsolved.

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Received: 7 December 1995 / In revised form: 6 March 1997

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Talagrand, M. The Sherrington–Kirkpatrick model: a challenge for mathematicians. Probab Theory Relat Fields 110, 109–176 (1998).

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  • Mathematics Subject Classification (1991): Primary: 82A57. Secondary: 60G15
  • 60E15