Fig. 3bis is a modification of the 'zero-phase' Weierstrass-type function shown in Fig. 3, which contains only odd-terms in the expansion (this will be elaborated upon in a future technical communication). By this trick, the odd-zero-phase Weierstrass-type function is able to describe simultaneously the two sets of critical points mentioned in the caption of Fig. 3. The continuous black line is the forward prediction using all the data from Aug. 9, 2000 to Aug. 15, 2003, while the dashed black line is the retroactive prediction using the data from Aug. 9, 2000 to Aug. 24, 2002. Both lines are reconstructed and extrapolated from the fits to a six-term odd-zero-phase Weierstrass-type function. We also present the two previous fits (red lines) performed on Aug. 24, 2002 (shown in Fig. 1) for comparison. The blue dots show the daily price evolution from Aug. 9, 2000 to Aug. 15, 2003. The large (respectively small) ticks in the abscissa correspond to January 1st (respectively to the first day of each quarter) of each year.
In conclusion, the coexistence of the strong downward crashes and upward rallies in the overall anti-bubble regime suggests to us that the market is completely dominated by sentiment, confidence and lack thereof and by herding. These mechanisms are amplifying any news, perturbation or rumor spreading in the network of investors.