Negative moments of characteristic polynomials of random GOE matrices and singularity-dominated strong fluctuations
Negative moments of characteristic polynomials of random GOE matrices and singularity-dominated strong fluctuations
复制标题
随机GOE矩阵特征多项式的负矩和奇点主导的强涨落
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
J. Keating
中科院分区：
文献类型：
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作者：
Y. Fyodorov;J. Keating
在N → ∞极限下，计算了高斯正交系综（GOE）中N × N随机矩阵的（正则化）特征多项式的负整数矩.这些结果与Berry和Keating最近的一个猜想非常一致，该猜想是由奇异性主导的强涨落理论中开发的技术所激发的。这是第一个例子中，使用这些技术得到的非平凡的预测已被证明。
We calculate the negative integer moments of the (regularized) characteristic polynomials of N × N random matrices taken from the Gaussian orthogonal ensemble (GOE) in the limit as N → ∞. The results agree nontrivially with a recent conjecture of Berry and Keating motivated by techniques developed in the theory of singularity-dominated strong fluctuations. This is the first example where nontrivial predictions obtained using these techniques have been proved.