  We examine holographic theories where Lifshitz symmetry is broken with
spatial anisotropy. In particular, we focus on the conditions imposed by the
null energy condition, and demonstrate that it is possible to have unusual
anisotropic fixed points where a subset of the spatial dimensions have negative
scaling exponents. We also construct interpolating solutions between UV and IR
fixed points and show that there is essentially no restriction placed on the
endpoints of the flow once anisotropic scaling is allowed. As an example, we
demonstrate a flow from AdS to AdS with $c_{IR}>c_{UV}$ that is allowed by the
null energy condition since it proceeds through an intermediate
Lorentz-violating region. Finally, we examine the holographic Green's function
in anisotropic Lifshitz spacetimes.
