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LIGO series, dimension of embedding and Kolmogorov’s complexity
Astronomy and Computing ( IF 2.5 ) Pub Date : 2021-04-05 , DOI: 10.1016/j.ascom.2021.100465
M.G. Kovalsky , A.A. Hnilo

The interpretation of the series recorded by the Laser Interferometer Gravitational Wave Observatory is a very important issue. Here we apply two methods widely used in the study of nonlinear dynamical systems, namely, the calculation of Takens’ dimension of embedding and the spectrum of Kolmogorov’s complexity, to the series recorded in event GW150914. An increase of the former and a drop of the latter are observed, which are consistent with the appearance of a gravitational wave. We also apply Hurst, ADF and KPSS coefficients. We propose these methods as additional tools to help to interpret LIGO signals.



中文翻译:

LIGO系列,嵌入尺寸和Kolmogorov的复杂性

激光干涉仪引力波天文台记录的系列的解释是一个非常重要的问题。在这里,我们将两种广泛用于非线性动力学系统研究的方法应用于事件GW150914中记录的序列,即计算Takens的嵌入维数和Kolmogorov复杂度谱。观察到前者的增加和后者的下降,这与引力波的出现是一致的。我们还应用赫斯特(Hurst),ADF和KPSS系数。我们建议将这些方法作为辅助工具来帮助解释LIGO信号。

更新日期:2021-04-19
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