Escape rates formulae and metastablilty for randomly perturbed maps

2017-09-01T08:30:03Z (GMT) by Wael Bahsoun Sandro Vaienti
We provide escape rates formulae for piecewise expanding interval maps with 'random holes'. Then we obtain rigorous approximations of invariant densities of randomly perturbed metastable interval maps. We show that our escape rates formulae can be used to approximate limits of invariant densities of randomly perturbed metastable systems.