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arxiv: 0807.4715 · v2 · pith:XGV5ICUTnew · submitted 2008-07-29 · 🧮 math.DS

Eventually Expanding Maps

classification 🧮 math.DS
keywords expandingbrancheventuallypiecewisecontractingexactlinearmaps
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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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