The Sherrington–Kirkpatrick model: a challenge for mathematicians

The Sherrington–Kirkpatrick model: a challenge for mathematicians
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谢林顿-柯克帕特里克模型:对数学家的挑战

DOI:
10.1007/s004400050147
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发表时间:
1998
影响因子:
2
通讯作者:
M. Talagrand
M. Talagrand
中科院分区:
数学1区
文献类型:
--
作者:
M. Talagrand

文献摘要

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旋转眼镜的Sherrington-Kirkpatrick(SK)模型似乎很容易表述。然而,其严谨的研究是一个相当大的挑战。我们在这里报告一些适度的进展(通过初级方法获得)。即使在被认为是简单的高温区域,一些基本的问题仍然没有得到解决。
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.