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. 2013 Nov 13;7:155. doi: 10.3389/fncom.2013.00155

Table 2.

Different scaling exponents found by linear fitting in the logarithmic displacement vs. time scale plot.

Value of α at n Type of correlation Nature of correlation Effect on data
>0.5 Persistence Positive (negative) increment followed by positive (negative) increment Expansion
<0.5 Anti-persistence Positive (negative) increment followed by negative (positive) increment Contraction (stabilization)
=0.5 Brownian motion No correlation between increments (No control)