Central Limit Theorems for Non-Invertible Measure Preserving Maps
Probability
2008-04-15 v2 Dynamical Systems
Abstract
We establish a new functional central limit theorem result for non-invertible measure preserving maps that are not necessarily ergodic, using the Perron-Frobenius operator. We apply the result to asymptotically periodic transformations and give an extensive specific example of asymptotically periodic transformations by using the tent map.
Cite
@article{arxiv.math/0608637,
title = {Central Limit Theorems for Non-Invertible Measure Preserving Maps},
author = {Michael C. Mackey and Marta Tyran-Kaminska},
journal= {arXiv preprint arXiv:math/0608637},
year = {2008}
}