Eventually Expanding Maps

Mathematics – Dynamical Systems

Scientific paper

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This paper has been withdrawn by the author due to a crucial sign error. The correct version of the paper is published in Amer

Scientific paper

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.

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