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Disentropy in astronomy

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Abstract

Astronomers often have to deal with randomness. For example, stars and radio telescopes are sources of randomness. On the other hand, randomly distributed stars in some astronomical images can make harder the task of an algorithm that aims the automatic identification of important structures in the image. Therefore, a randomness measure, like the disentropy of the autocorrelation function, can be a useful mathematical tool for astronomers. In this direction, in the present work we firstly show three applications of the disentropy of the autocorrelation in astronomy. Initially, we calculate the randomness of the images of cosmic microwave background maps produced by Planck satellite, providing for the first time a numerical value for that randomness. Following, we use the disentropy to build an algorithm that erases parts of astronomical images with large randomness, what is particularly useful to remove background stars. In the third application, the disentropy of the autocorrelation is used to calculate the randomness of the signal of a radio pulsar used as random number generator. At last, we used the relative disentropy as distance measure between probability distributions in order to find the parameters of the probability density function of the flux density of a pulsar.

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Data Availability Statement

All data generated or analyzed during this study are included in this published article, or they were obtained in public databases.

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Acknowledgements

This work was supported by the Brazilian agencies CNPq via Grant No. 309374/2021-9 and CAPES via Grant No. 001. Also, this work was performed as part of the Brazilian National Institute of Science and Technology for Quantum Information. The authors thank J. R. Dawson and G. Hobbs for useful discussions. This paper includes archived data obtained through the CSIRO Data Access Portal (data.csiro.au).

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Authors and Affiliations

  1. Laboratory of Quantum Information Technology, Department of Teleinformatic Engineering, DETI/UFC, Federal University of Ceara, Campus do Pici, C.P. 6007, Fortaleza, CE, 60455-970, Brazil

    F. J. L. de Almeida & R. V. Ramos

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  1. F. J. L. de Almeida
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Contributions

F.J.L. de Almeida: Conceptualization, Visualization, and Numerical Simulation. R.V. Ramos: Conceptualization, Methodology, Visualization, Numerical Simulation, and Writing—original draft.

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Correspondence to R. V. Ramos.

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de Almeida, F.J.L., Ramos, R.V. Disentropy in astronomy. Eur. Phys. J. Plus 138, 20 (2023). https://doi.org/10.1140/epjp/s13360-022-03640-4

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