We consider a correlated $N\times N$ Hermitian random matrix with a polynomially decaying metric correlation structure. By calculating the trace of the moments of the matrix and using the summable decay of the cumulants, we show that its operator norm is stochastically dominated by one.

中文翻译：

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具有相关项的 Hermitian 随机矩阵的算子范数

我们认为一个相关的$ñ\times ñ$具有多项式衰减度量相关结构的 Hermitian 随机矩阵。通过计算矩阵矩的轨迹和使用累积量的可累加衰减，我们证明了它的算子范数随机地由一个支配。