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Measurement of accelerated expansion in the Universe led to propose a newcosmic fluid as its cause: dark energy. Its various incarnations offer a wealthof models whose relevance it is important to discriminate via contacts withobservations. I will present my investigations on the influence of dynamicaldark energy models on the formation of non-linear dark matter structures. Inparticular, I will focus on structures traced by the mass function of darkmatter haloes.Comment: submitted to the Proceedings of the 11th Marcel Grossmann Meeting,  MG11, Berlin, Germany, July 23-29, 2006 (2007) to be publishe

PROBING DYNAMICAL DARK ENERGY WITH PRESS-SCHECHTER MASS FUNCTIONS