A Borel–Cantelli lemma for intermittent interval maps
A Borel–Cantelli lemma for intermittent interval maps
We consider intermittent maps T of the interval, with an absolutely continuous invariant probability measure μ. Kim showed that there exists a sequence of intervals An such that ∑ μ(An) = ∞, but {An} does not satisfy the dynamical Borel–Cantelli lemma, i.e. for almost every x, the set {n: Tn(x) …