%0 Journal Article %T Model Theory of Differentially Closed Fields with a Generic Automorphism %A Ronald F. Bustamante Medina %J Mathematics %D 2009 %I arXiv %X E. Hrushovski proved tha the theory of difference-differential fields has a model companion. We prove this result and other maind properties of this theory that we call DCFA. We describe the SU rank a its relation with transcendence degree. We prove a version of Zilber's dichotomy and we give a description of Abelian definable groups. %U http://arxiv.org/abs/0907.3959v1