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The conjugacy of Collet–Eckmann's map of the interval with the tent map is Holder continuous
Published online by Cambridge University Press: 19 September 2008
Abstract
It is proved that a homeomorphism h, which conjugates a smooth unimodal map of the interval with negative Schwarzian derivative and positive Lyapunov exponent along the forward trajectory of the critical value with a tent map, and its inverse h−1 are Hölder continuous.
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