{'fraction_non_alphanumeric': 0.021369212504946576, 'fraction_numerical': 0.003561535417491096, 'mean_word_length': 5.019047619047619, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Status of Ring-like Correlations and Wavelets

The problem of large-scale correlations of particles produced in high-energy collisions is discussed. Among them are, e.g., those correlations which lead to ring-like and elliptic flow shapes of individual high-multiplicity events in the po-lar+azimuthal angles plane. The wavelet method of analysis which allows to disentangle various patterns is proposed and applied to central Pb-Pb collisions at 158AGeV. Various correlations of particles produced in high-energy collisions are known. Especially well studied are the two-particle correlations due to the decay of two-particle resonances and due to Bose-Einstein effect for identical particles. The common correlation function technique is well suited for this purpose. It is more difficult to apply it if several particles are involved. Nevertheless, correlations leading to clusters (or mini-jets, non-reducible to resonances) and to jets have been studied as well, however mostly in e + e −-collisions where jet and subjet structures are clearly visible. Otherwise one has to apply the averaging procedure to get knowledge of dynamical correlations from studies of the moments of various distributions and their behavior in different regions of the phase space (for recent reviews, see 1,2). It has lead to understanding of some global features of QCD 3,4. However, the genuine multiparticle correlations originating from some collective effects may appear in individual events. There exists a method of the wavelet analysis which allows to recognize patterns due to correlations at different scales and damp down the statistical noise even if it is very large in an initial sample. Before delving into applications of this method, let us consider examples of possible correlations which one would seek for. Everybody knows about Cherenkov radiation of photons by a bunch of electrons traversing a medium whose refractivity index exceeds 1. These photons form a ring in the plane perpendicular to electrons motion, i.e. they are emitted at a definite polar angle. As a hadronic analogue, one may treat an impinging nucleus as a bunch of confined quarks each of which can emit gluons when traversing a target nucleus. I speculated 5 about possible Cherenkov gluons relying on experimental observation of the positive real part of the elastic forward scattering amplitude of all hadronic processes at high energies. This is a necessary condition for such process because in the commonly used formula for the refractivity index