The bottom objective is to find a quantitative way of characterising the analyticity of the function underlying the time series observed. Up to date, the only number linked to connectivities is the correlation parameter (Pearson), which just provides statistical information, but not intrinsic information.

We have discussed the possibility to study the fractal dimension (or any other parameter characterising the fractality of the signal) of

• the connetivities themselves
• the re-constructed signal obtained from the residuals yield by the PWHT method at each step.

<todo>Perform a first test on the connectivities for a positive and negative cases (S)</todo>
<todo>Develop an algorithm that reconstruct a signal from the residuals of the PWHT (JPG)</todo>
<todo>Compute the Connectivities on those re-constructed signals (JPG)</todo>
<todo>Compute a fractal characterisation analysis on the Connectivities (S) </todo>