LIGO series, dimension of embedding and Kolmogorov's complexity

Abstract

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.