  Holographic RG flows in some cases are known to be related to cosmological
solutions. In this paper another example of such correspondence is provided.
Holographic RG flows giving rise to asymptotically-free $\beta$-functions have
been analyzed in connection with holographic models of QCD. They are shown upon
Wick rotation to provide a large class of inflationary models with
logarithmically-soft inflaton potentials. The scalar spectral index is
universal and depends only on the number of e-foldings. The ratio of tensor to
scalar power depends on the single extra real parameter that defines this class
of models. The Starobinsky inflationary model as well as the recently proposed
models of T-inflation are members of this class. The holographic setup gives a
completely new (and contrasting) view to the stability, naturalness and other
problems of such inflationary models.
