  Asymptotic Safety provides a mechanism for constructing a consistent and
predictive quantum theory of gravity valid on all length scales. Its key
ingredient is a non-Gaussian fixed point of the gravitational renormalization
group flow which controls the scaling of couplings and correlation functions at
high energy. In this work we use a functional renormalization group equation
adapted to the ADM-formalism for evaluating the gravitational renormalization
group flow on a cosmological Friedmann-Robertson-Walker background. Besides
possessing the UV-non-Gaussian fixed point characteristic for Asymptotic Safety
the setting exhibits a second non-Gaussian fixed point with a positive Newton's
constant and real critical exponents. The new fixed point alters the phase
diagram in such a way that all renormalization group trajectories connected to
classical general relativity are well-defined on all length scales. In
particular a positive cosmological constant is dynamically driven to zero in
the deep infrared. Moreover, the scaling dimensions associated with the
universality classes emerging within the causal setting exhibit qualitative
agreement with results found within the $\epsilon$-expansion around two
dimensions, Monte Carlo simulations based on Lattice Quantum Gravity, and the
discretized Wheeler-deWitt equation.
