Statistics of critical points of Gaussian fields on large-dimensional spaces
Statistics of critical points of Gaussian fields on large-dimensional spaces
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DOI：
10.1103/physrevlett.98.150201
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发表时间：
2007-04-13
影响因子：
8.6
通讯作者：
Dean, David S.
中科院分区：
文献类型：
--
作者：
Bray, Alan J.;Dean, David S.
我们计算了高维空间上高斯场临界点的平均个数，作为它们的能量和指数的函数。我们的研究结果给出了一个完整的图片组织的临界点和玻璃和无序的系统和景观的情景来自人择方法弦理论。
We calculate the average number of critical points of a Gaussian field on a high-dimensional space as a function of their energy and their index. Our results give a complete picture of the organization of critical points and are of relevance to glassy and disordered systems and landscape scenarios coming from the anthropic approach to string theory.