The Rényi’s entropy and the scale-free dimensions exhibit a straight relation, because the power law exponent n and the Rényi’s parameter β are correlated: changes in n lead to changes in β, and vice versa.
Could it be applied to neuroscience? In other words, could increases or decreases in the 1/fn power slope in multifractal brain play a role in information processing?
It is great that scientists think about such a complex issue. Do you know an interesting article on the subject. Please take a look. All the best.
It is great that scientists think about such a complex issue. Do you know an interesting article on the subject. Please take a look. All the best.
Karl Friston kindly sent me this answer:
"I think changes in n and beta are measurements that we apply to neuronal activity. Because these are measurements, they do not play a direct role in information processing. However, they could reflect important changes in information processing. For example, the difference between processing under attentional direction and alertness – relative to introspective mindwandering."
Dear Arturo, information entropy represents a measure of the uncertainty of events. On the other hand, the phenomenon in EEG desynchronization is an indication of activation of the reticular formation. Begins to dominate the beta rhythm. However, we can not definitely say what is the significance of the information of brain activation. Measure of uncertainty is still, unfortunately, is not certain.
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