Analysis of Multiparticle Correlations and the Wavelet Transform

Abstract

The analysis of multiparticle correlations by means of factorial moments¹ and refinements thereof,² amounts to counting the abundance of q-tuples of particles in phase space in dependence of the “size” of the tuple. The human brain, however, follows a different strategy to estimate correlations of point patterns: it organizes points/particles in densely populated regions into (hard to quantify) “clumps” or “clusters” and unpopular regions into “voids” if one looks closer into a particular “clump” it may (or may not) again be organized into “clusters” and “voids”, but now with respect to the higher (smooth) background density of the bigger “parent-clump”, and so on.