Central limit theorems for sequential and random intermittent dynamical systems
Dynamical Systems
2016-09-28 v3
Abstract
We establish self-norming central limit theorems for non-stationary time series arising as observations on sequential maps possessing an indifferent fixed point. These transformations are obtained by perturbing the slope in the Pomeau-Manneville map. We also obtain quenched central limit theorems for random compositions of these maps.
Cite
@article{arxiv.1510.03214,
title = {Central limit theorems for sequential and random intermittent dynamical systems},
author = {Matthew Nicol and Andrew Török and Sandro Vaienti},
journal= {arXiv preprint arXiv:1510.03214},
year = {2016}
}