Early acceleration and adiabatic matter perturbations in a class of   dilatonic dark-energy models
  We estimate the growth of matter perturbations in a class of recently proposed dark-energy models based on the (loop-corrected) gravi-dilaton string effective action, and characterized by a global attractor epoch in which dark-matter and dark-energy density scale with the same effective equation of state. Unlike most dark-energy models, we find that the accelerated phase might start even at redshifts as high as z~5 (thus relaxing the coincidence problem), while still producing at present an acceptable level of matter fluctuations. We also show that such an early acceleration is not in conflict with the recently discovered supernova SN1997ff at z~1.7 . The comparison of the predicted value of sigma_{8} with the observational data provides interesting constraints on the fundamental parameters of the given model of dilaton-dark matter interactions. 
L. Amendola, M. Gasperini, D. Tocchini-Valentini, C. Ungarelli