Before revision:  Five years of daily Euro/ Dollar trading records in the about three hours following the New York opening session are shown to give an accurate ensemble representation of the self-similar , non-Markovian stochastic process with nonstationary increments recently conjectured to generally underlie financial assets dynamics PNAS 104 , 19741 (2007) . Introducing novel quantitative tools in the analysis of non-Markovian time-series we show that empirical non-linear correlators are in remarkable agreement with model predictions based only on the anomalous scaling form of the logarithmic return distribution.
After revision:  Five years of daily Euro/ Dollar trading records in the about three hours following the New York opening session are shown to give an accurate ensemble representation of the self-similar PNAS 104 , 19741 (2007) . Introducing novel quantitative tools in the analysis of non-Markovian time-series we show that empirical non-linear correlators are in remarkable agreement with model predictions based only on the anomalous scaling form of the logarithmic return distribution.