  We propose a straightforward extension of our previously proposed
log-periodic power law model of the ``anti-bubble'' regime of the USA market
since the summer of 2000, in terms of the renormalization group framework to
model critical points. Using a previous work by Gluzman and Sornette (2002) on
the classification of the class of Weierstrass-like functions, we show that the
five crashes that occurred since August 2000 can be accurately modelled by this
approach, in a fully consistent way with no additional parameters. Our theory
suggests an overall consistent organization of the investors forming a
collective network which interact to form the pessimistic bearish
``anti-bubble'' regime with intermittent acceleration of the positive feedbacks
of pessimistic sentiment leading to these crashes. We develop retrospective
predictions, that confirm the existence of significant arbitrage opportunities
for a trader using our model. Finally, we offer a prediction for the unknown
future of the US S&P500 index extending over 2003 and 2004, that refines the
previous prediction of Sornette and Zhou (2002).
