Escape rates formulae and metastablilty for randomly perturbed maps

Wael Bahsoun (1) , Sandro Vaienti (2)

1 Department of Mathematical Sciences, Loughborough University
2 CPT - Centre de Physique Théorique - UMR 7332

We provide escape rates formulae for piecewise expanding interval maps with 'random holes'. Then we obtain rigorous approximations of invariant densities of randomly perturbed metabstable interval maps. We show that our escape rates formulae can be used to approximate limits of invariant densities of randomly perturbed metastable systems.

Domaines: Systèmes dynamiques [math.DS]

Wael Bahsoun, Sandro Vaienti. Escape rates formulae and metastablilty for randomly perturbed maps. Nonlinearity, 2013, pp.1415-1438. ⟨10.1088/0951-7715/26/5/1415⟩. ⟨hal-01126644⟩