BAHSOUN, W. and VAIENTI, S., 2013. Escape rates formulae and metastablilty for randomly perturbed maps. Nonlinearity, 26 (5), pp.1415-1438.
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.
SV research was supported by the
ANR ‘Perturbations’, and by the CNRS-PEPS ‘Mathematical methods of climate models’ and
by the CNRS-PICS N 05968.