Disentropy in Astronomy

Astronomers often have to deal with randomness. For example, stars and radiotelescopes 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 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