2008/07/29 by Peyman Eslami, Eslami, Peyman, Pawel Gora +1
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS
paper · pdf · doi:10.48550/arxiv.0807.4715
This paper has been withdrawn by the author due to a crucial sign error.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
arxiv created 2011/08/17 · arxiv updated 2011/08/18
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.