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The trajectory of the turning point is dense for almost all tent maps. (English) Zbl 0874.58014
Summary: We prove that for almost every (with respect to the Lebesgue measure) \(a\in[\sqrt 2,2]\), the forward trajectory of the turning point of the tent map \(f_a\) with slope \(a\) is dense in the interval of transitivity of \(f_a\).

37E99 Low-dimensional dynamical systems
Full Text: DOI
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