On the mathematical validity of the Higuchi method

Higuchi, 1988, Approach to an irregular time series on the basis of the fractal theory, Physica D, 31, 277, 10.1016/0167-2789(88)90081-4 Gomolka, 2018, Higuchi fractal dimension of heart rate variability during percutaneous auricular vagus nerve stimulation in healthy and diabetic subjects, Front. Physiol., 9 Gálvez-Coyt, 2012, Parameters of Higuchi’s method to characterize primary waves in some seismograms from the Mexican subduction zone, Acta Geophys., 60, 910, 10.2478/s11600-012-0033-9 Al-Nuaimi, 2018, Complexity measures for quantifying changes in electroencephalogram in Alzheimer’s disease, Complexity, 12 Ahammer, 2011, Higuchi method of digital images, PLoS One, 6, 10.1371/journal.pone.0024796 Falconer, 2003 Falconer, 1992 Massopust, 2010 Massopust, 2016