We present a rigorous numerical scheme for the approximation of the linear response of the invariant density of a map with an indifferent fixed point, with explicit and computed estimates for the error and all the involved constants.

No abstract

We study perturbations of random dynamical systems whose associated transfer operators admit a uniform spectral gap. We provide a k th -order approximation for the invariant density of the associated random dynamical system. We apply our result to random continued fractions.