Wavelet correlations in hierarchical branching processes
Martin Greiner, Jens Giesemann, Peter Lipa, Peter Carruthers
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 supresses redundancy in the correlation information. Wavelet correlations can be naturally interpreted as correlations between structures (clumps) living on different scales.
Create a lesson
Related papers
Chiral soliton lattice in inhomogeneous magnetic fields
Tomas Brauner, Ramkumar Radhakrishnan
From the November Revolution toward the Millennium
Chris Quigg
An Axial UA(1)Lμ-Lτ: UV Completion and Experimental Searches
Rundong Fang, Jinhui Guo, Ming Li et al.
Hunting long-lived doubly charged scalars at the HL-LHC
Biplob Bhattacherjee, Rituparna Ghosh, Swagata Mukherjee et al.
Enigmatic properties of Ξ(1620) and Ξ(1690)
Taísa Veloso, K. P. Khemchandani, A. Martinez Torres et al.
Exploring Z/γ-mediated heavy FCNCs at the FCC-ee
Abhik Sarkar, Subhajit Kala, Amir Subba et al.