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We study the renormalisation group running of the cosmological and the Newtonconstant, where the renormalisation scale is given by the inverse of the radiusof the cosmological event horizon. In this framework, we discuss the futureevolution of the universe, where we find stable de Sitter solutions, but also"big crunch"-like and "big rip"-like events, depending on the choice of theparameters in the model.Comment: 14 pages, 7 figures, minor improvements, references adde

The running of the cosmological and the Newton constants controlled by the cosmological event horizon