Journal article

Publication year: 1996

Pages: 305-321

Journal: Zeitschrift für Physik C Particles and Fields

Volume number: 69

Issue number: 2

ISSN: 0170-9739

DOI Link: https://doi.org/10.1007/s002880050031

Publisher: Springer Verlag

Abstract: 
A study of correlations in tractable multiparticle cascade models in terms of wavelets reveals many promising features. The selfsimilar construction of the wavelet basis functions and their multiscale localization properties provide a new approach to the statistical analysis and analytical control of hierarchically organized branching processes. The exact analytical solution of several discrete models shows that the wavelet transformation suppresses redundancy in the correlation information. Wavelet correlations can be naturally interpreted as correlations between structures (clumps) living on different scales.

Harvard Citation style: Greiner, M., Giesemann, J., Lipa, P. and Carruthers, P. (1996) Wavelet correlations in hierarchical branching processes, Zeitschrift für Physik C Particles and Fields, 69(2), pp. 305-321. https://doi.org/10.1007/s002880050031

APA Citation style: Greiner, M., Giesemann, J., Lipa, P., & Carruthers, P. (1996). Wavelet correlations in hierarchical branching processes. Zeitschrift für Physik C Particles and Fields. 69(2), 305-321. https://doi.org/10.1007/s002880050031