LIGO series, dimension of embedding and Kolmogorov's complexity

KOVALSKY, M.G.; HNILO, A.A.

Astronomy and Computing

Elsevier B.V.

Año: 2021 vol. 35

2213-1337

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.