  We study R\'enyi entropies for geometries with Lifshitz scaling and
hyperscaling violation. We calculate them for specific values of the Lifshitz
parameter, and analyze the dual spectrum of the ground state. In the large
$d-\theta$ limit they show that the ground state is unique in specific
parameter ranges. We also calculate the R\'enyi entropies perturbatively around
$n=1$, and derive constraints using the R\'enyi entropy inequalities, which
correspond to the thermodynamic stability of the black holes.
