论文标题

吉尼伯和双曲合奏的模量过程的波动

Fluctuations of the process of moduli for the Ginibre and hyperbolic ensembles

论文作者

Bufetov, Alexander I., García-Zelada, David, Lin, Zhaofeng

论文摘要

我们研究了Ginibre和双曲合奏的模量的点过程。我们表明,这些过程远非起源和适当的规模,表现出高斯和泊松波动。在可能的高斯波动中,我们可以找到白噪声,但在特定规模上也具有非平凡协方差的波动。

We investigate the point process of moduli of the Ginibre and hyperbolic ensembles. We show that far from the origin and at an appropriate scale, these processes exhibit Gaussian and Poisson fluctuations. Among the possible Gaussian fluctuations, we can find white noise but also fluctuations with non-trivial covariance at a particular scale.

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