Quadratic response and speed of convergence of invariant measures in the zero-noise limit
Quadratic response and speed of convergence of invariant measures in the zero-noise limit
<p style='text-indent:20px;'>We study the stochastic stability in the zero-noise limit from a quantitative point of view.</p><p style='text-indent:20px;'>We consider smooth expanding maps of the circle perturbed by additive noise. We show that in this case the zero-noise limit has a quadratic speed of convergence, as suggested by numerical experiments and heuristics …