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The construction of chaotic maps in the sense of Devaney on dendrites which commute to continuous maps on the unit interval
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Polynomial growth of the derivative for diffeomorphisms on tori
Expanding interval maps with intermittent behaviour, physical measures and time scales
1.  Institut de Mathématiques de Luminy, Case 907. 163, avenue de Luminy, 13288 Marseille Cedex 9, France 
To try to understand this last phenomenon, we propose a more general construction that yields an example for which we conjecture there is an infinite number of natural time scales.
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