### A note on quenched moderate deviations for Sinai’s random walk in random environment

We consider the continuous time, one-dimensional random walk in random environment in Sinai’s regime. We show that the probability for the particle to be, at time $t$ and in a typical environment, at a distance larger than ${t}^{a}$ ($0\<a\<1$) from its initial position, is $exp\{-\mathrm{Const}\xb7{t}^{a}/[(1-a)lnt](1+o\left(1\right))\}$.