Name:
sf_spectrum.pro
Purpose:
Calculate the multifractal spectrum (Hölder exponents and Hausdorff dimensions) via Legendre transform of the spectrum of the generalized correlation dimensions D(q).
Calling sequence:
mf_spectrum_legendre,q,dq,err_dq,alpha,err_alpha,falpha,err_falpha
Input parameters:
Dq: The multifractal Dq values for each value of the selector q'
err_Dq: Uncertainties associated with each Dq value'
q: The array of selectors (normally positive real numbers excluding 0)
Keywords:
Output:
alpha: The spectrum of Hölder exponents
err_alpha: the error of the Hölder exponents
falpha: the spectrum of Hausdorff dimensions
err_falpha: the error of the Hausdorff dimensions
Property name in DB:
mf_spectrum_Blos.dq, mf_spectrum_Blos.dq_err, mf_spectrum_Blos.q, mf_spectrum_Blos.alpha, mf_spectrum_Blos.alpha_err, mf_spectrum_Blos.falpha, mf_spectrum_Blos.falpha_err
mf_spectrum_Br.dq, mf_spectrum_Br.dq_err, mf_spectrum_Br.q, mf_spectrum_Br.alpha, mf_spectrum_Br.alpha_err, mf_spectrum_Br.falpha, mf_spectrum_Br.falpha_err
mf_spectrum_Btot.dq, mf_spectrum_Btot.dq_err, mf_spectrum_Btot.q, mf_spectrum_Btot.alpha, mf_spectrum_Btot.alpha_err, mf_spectrum_Btot.falpha, mf_spectrum_Btot.falpha_err
Repository:
https://dev.flarecast.eu/stash/projects/FE/repos/mf_spectrum-idl/browse
References:
Lawrence, J.K, Ruzmaikin, A.A., & Cadavid, A.C., 1993, The Astrophysical Journal, 417, 805