论文标题
从随机基质理论到泊松波动的海洋表面温度的全局相关矩阵光谱
Global correlation matrix spectra of the surfacetemperature of the Oceans from Random MatrixTheory to Poisson fluctuations
论文作者
论文摘要
在这项工作中，我们使用随机矩阵理论（RMT）正确描述了海面温度的海洋表面温度的频谱统计特性的行为。该海洋变量在全球量化系统中起着重要作用。数据是从国家海洋和大气球场（NOAA）获得的，并在1982年至2016年期间进行了划界。结果表明，海洋学系统呈现出特定的$β$值，可根据其相关性行为对每个海洋进行分类。北部，中部和南部的相关矩阵的当时最邻居的间距接近RMT分布。然而，南极极中的区域被定性的区域表现出了泊松模型的最接近邻骨空间的分布，该模型表明了RMT向泊松波动的明显变化。
In this work we use the random matrix theory (RMT) to correctly describethe behavior of spectral statistical properties of the sea surface temperatureof oceans. This oceanographic variable plays an important role in theglobalclimate system. The data were obtained from National Oceanic and Atmo-spheric Administration (NOAA) and delimited for the period 1982 to 2016.The results show that oceanographic systems presented specific $β$ values thatcan be used to classify each ocean according to its correlation behavior. Thenearest-neighbors spacing of correlation matrix for north, central and south ofthe three oceans get close to a RMT distribution. However, the regions delim-ited in the Antarctic pole exhibited the distribution of the nearest-neighborsspacing well described by the Poisson model, which shows astatistical changeof RMT to Poisson fluctuations.
