Before revision:  Furthermore, we define the \alpha re-scaled AEX daily index positive returns r(t) ^{\alpha and negative returns (-r(t)) ^{\alpha that we call, after normalization, the \alpha positive fluctuations and \alpha negative fluctuations.
After revision:  Furthermore, we define the \alpha re-scaled AEX daily index positive returns r(t) ^{\alpha and negative returns (-r(t)) ^\alpha that we call, after normalization, the \alpha positive fluctuations and \alpha negative fluctuations.