DISTRIBUTIONAL AND LOCAL LIMIT LAWS FOR A CLASS OF ITERATED MAPS THAT CONTRACT ON AVERAGE
DISTRIBUTIONAL AND LOCAL LIMIT LAWS FOR A CLASS OF ITERATED MAPS THAT CONTRACT ON AVERAGE
We consider iterated function schemes that contract on average with place-dependent probabilities. We are interested in generalisations of the central limit theorem, particularly to observations with infinite variance. By studying the spectral properties of an associated one-parameter family of transfer operators acting on an appropriate function space, we prove both …