  Given a one-dimensional dynamical system we study its cover time, which
quantifies the rate at which orbits become dense in the state space. Using
transfer operator tools for dynamical systems with holes and inducing
techniques, for a wide class of uniformly hyperbolic and non-uniformly
hyperbolic systems we obtain an asymptotic formula for the expected cover time
in terms of the decay rate of the measure of the ball of minimum measure.
Applications include the Gauss map and Manneville-Pomeau maps.
