LIGO series, dimension of embedding and Kolmogorov's complexity
Instrumentation and Methods for Astrophysics
2020-08-11 v1 Data Analysis, Statistics and Probability
Abstract
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.
Keywords
Cite
@article{arxiv.2008.04241,
title = {LIGO series, dimension of embedding and Kolmogorov's complexity},
author = {Marcelo Kovalsky and Alejandro Hnilo},
journal= {arXiv preprint arXiv:2008.04241},
year = {2020}
}
Comments
3 pages, 2 figures, 1 table