Eventually Expanding Maps
Dynamical Systems
2011-08-18 v2
Abstract
In this paper we show that the piecewise linear map f(x) = px for x in [0,1/p], and sx-s/p for x in (1/p,1], p > 1, 0 < s < 1 which has an expanding, onto branch and a contracting branch is eventually piecewise expanding and exact.
Keywords
Cite
@article{arxiv.0807.4715,
title = {Eventually Expanding Maps},
author = {Peyman Eslami and Pawel Gora},
journal= {arXiv preprint arXiv:0807.4715},
year = {2011}
}
Comments
This paper has been withdrawn by the author due to a crucial sign error. The correct version of the paper is published in American Mathematical Monthly Aug/Sept issue 2011