1998/12/10 by Yuan Hu, Hu Yuan, Yu Meiling +3
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #Computer science #Energy (signal processing) #Energy spectrum #Fractal #Fractal dimension #Index (typography) #Mathematical analysis #Mathematics #Multifractal system #Physics #Quantum mechanics #Spectrum (functional analysis) #Stability (learning theory) #Statistical Mechanics and Entropy #Statistical physics #Statistics #Theoretical and Computational Physics #hep-ph
paper · pdf · doi:10.1088/0256-307x/16/8/003
published as Chin.Phys.Lett. 16 (1999) 553-554 · 7 pages 4 PS figures Record-No: HZPP-9809
arxiv created 1998/12/10 · openalex publication_date 1999/08/01 · arxiv updated 2015/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A method for extracting the Levy stability index μ from the multi-fractal spectrum f ( α ) in high energy multiparticle production is proposed. This index is an important parameter, characterizing the non-linear behaviour of dynamical fluctuations in high energy collisions. Using the random cascading α model as an example, the validity of this method is tested. It is shown that this method, based on a linear fit, is consistent with and more accurate than the usual method, which gets the Levy index through fitting the ratio of q th to 2nd order multi-fractal (Rényi) dimensions to the Peschanski formula.