WAVELET CORRELATIONS IN HIERARCHICAL BRANCHING-PROCESSES

A study of correlations in tractable multiparticle cascade models in t erms of wavelets reveals many promising features. The selfsimilar cons truction of the wavelet basis functions and their multiscale localizat ion properties provide a new approach to the statistical analysis and analytical control of hierarchically organized branching processes. Th e exact analytical solution of several discrete models shows that the wavelet transformation suppresses redundancy in the correlation inform ation. Wavelet correlations can be naturally interpreted as correlatio ns between structures (clumps) living on different scales.