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arXiv 2008.04241astro-ph.IMphysics.data-an
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LIGO级数、嵌入维数与Kolmogorov复杂度

LIGO series, dimension of embedding and Kolmogorov's complexity

Marcelo Kovalsky, Alejandro Hnilo

摘要:

对激光干涉仪引力波天文台记录的系列资料的解释是一个非常重要的问题。当然,这并非没有争议。在这里,我们应用两种方法广泛用于研究非线性动力系统,即,计算Takens的嵌入维数和Kolmogorov的复杂性的频谱,在事件GW150914中记录的系列。前者的增加和后者的下降被观察到,与声称的引力波的出现相一致。我们提出这些方法作为额外的工具,以帮助识别宇宙学感兴趣的信号。

英文摘要:

The interpretation of the series recorded by the Laser Interferometer Gravitational Wave Observatory is a very important issue. Naturally, it is not free of controversy. 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, consistent with the claimed appearance of a gravitational wave. We propose these methods as additional tools to help identifying signals of cosmological interest.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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