Polynomial loss of memory for maps of the interval with a neutral fixed point
Dynamical Systems
2014-10-31 v3
Abstract
We give an example of a sequential dynamical system consisting of intermittent-type maps which exhibits loss of memory with a polynomial rate of decay. A uniform bound holds for the upper rate of memory loss. The maps may be chosen in any sequence, and the bound holds for all compositions.
Keywords
Cite
@article{arxiv.1402.4399,
title = {Polynomial loss of memory for maps of the interval with a neutral fixed point},
author = {R. Aimino and H. Hu and M. Nicol and A. Torok and S. Vaienti},
journal= {arXiv preprint arXiv:1402.4399},
year = {2014}
}
Comments
16 pages