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High-energy interactions of gamma rays and protons with the Earth atmosphere have been simulated by means of the CORSIKA Monte Carlo code, and the secondary-particle density distributions in the resulting extensive air showers, at ground level, have been studied. It is shown that the fluctuations of the density distributions as a function of the polar angle have features typical of a 1/f noise. The sample is then analysed in order to study its scaling behaviour and we find that it can be parametrized by means of a universal multifractal approach.

We have simulated the interactions of high energy rays and protons with the terrestrial atmosphere, and studied the ground level behaviour of the distributions of secondary . The fluctuation seen in these distributions show the typical aspect of a flicker noise. We show how deconvolution of this noise leads to an improved /hadron discrimination in a simple separation scheme.

6 pags., 2 figs. -- XXXIII Symposium on Nuclear Physics 5–8 January 2010, Hacienda Cocoyoc, Morelos, Mexico, The power spectrum of the 5 statistic of quantum spectra presents 1/f(alpha) noise. For chaotic systems alpha = 1 while for regular systems alpha = 2. Although the transition from regularity to chaos is non universal, for a wide variety of systems with a mixed phase space the value of a is intermediate between 1 and 2 and can be related to the fraction of regular or chaotic orbits in the total phase space. This statistic can be a very useful tool for the analysis of experimental spectra, specially in the case of missing levels or spectral sequences with mixed symmetries., This research has been supported in part by Spanish Government grant No. FIS2009- 07277 and No. FIS2006-12783-C03-02, CSPD-2007-00042-Ingenio2010, and by the Universidad Complutense de Madrid grant UCM-910059. A.R. is supported by the CPAN-Consolider program.