Generation of numbers with the distribution close to uniform with the use of chaotic maps

The method discussed in the paper enables the generation of values from the distribution close to uniform by means of “flattening” continuous distributions of (pseudo-) random sequences of numbers. The method makes use of chaotic maps with uniform distribution. The set of initial conditions for such recursive functions consists of any sequences of numbers derived in a (pseudo-) random manner. Thanks to an appropriate quantity of the iterations of such chaotic maps, the initial conditions set is reduced to the sequence of numbers with the distribution close to uniform. The method may be employed for the derivation of (pseudo-) random values using for example: sets of physical measurements, values of stock exchange indices or biometrics data like EEG signals. Consequently, the obtained values may be applied in simulations or in cryptography.