  We explore the ultraviolet continuum regime of causal dynamical
triangulations, as probed by the flow of the spectral dimension. We set up a
framework in which one can find continuum theories that can in principle fully
reproduce the behaviour of the latter in this regime. In particular, we show
that, in 2+1 dimensions, Hovrava-Lifshitz gravity can mimic the flow of the
spectral dimension in causal dynamical triangulations to high accuracy and over
a wide range of scales. This seems to provide evidence for an important
connection between the two theories.
