The matrix model successfully describes the two-dimensional simplicial quantum gravity. As a step toward generalization to higher dimensional spaces, the author proposed a rank-three tensor model, as a theory of dynamical fuzzy spaces. This paper gives a review of his recent results, describing the numerical analysis of the model. In particular, a certain Gaussian type of classical solution ensures that the properties of low-lying long-wavelength modes of small fluctuation around it are in agreement with many general relativity cases, which seem to emerge from the dynamic hypothesis.
For the entire collection see [Zbl 1197.81033].