in 2+1 dimensions. Sec. \[sec:actions\] deals with actions and the Wick rotation, and Sec. \[sec:numsetup\] summarizes the new numerical set-up. This includes an overview of the Monte Carlo moves in 2+1 dimensions, a prescription for how a notion of time can be defined on the quantum ensemble, and how the corresponding volume profiles can be extracted. In Sec. \[sec:explo\] we explore the phase diagram of the model numerically. In Sec. \[sec:tetdist\] we study distributions of tetrahedra as a function of the coupling constants, which allows us to understand how foliated (in the sense of regular CDT) typical configurations are. The results of our analysis of the volume profiles and their matching to a de Sitter universe are presented in Sec. \[sec:voldist\], and our conclusions in Sec. \[sec:conclusions\]. – Further details on the numerical implementation as well as a documentation of the relevant software can be found in [@thesis].

Review of Causal Dynamical Triangulations {#cdt}
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To set the stage for our subsequent generalization, we recall in the following some elements of Causal Dynamical Triangulations, mainly based on the original literature on CDT in 1+1 [@al], 2+1 [@3dcdt] and 3+1 dimensions [@cdt4d; @desitter]. For more extensive reviews and lecture notes on 