Before revision:  Furthermore, we define the \alpha re-scaled FTSE100 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 FTSE100 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.