MixingC
rmaps of the interval without maximal measure |
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Authors: | Sylvie Ruette |
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Institution: | (1) Institut de Mathématiques de Luminy, CNRS, case 907, 163 avenue de Luminy, 13288 Marseille cedex 9, France |
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Abstract: | We construct aC
rtransformation of the interval (or the torus) which is topologically mixing but has no invariant measure of maximal entropy.
Whereas the assumption ofC
∞ ensures existence of maximal measures for an interval map, it shows we cannot weaken the smoothness assumption. We also compute
the local entropy of the example. |
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Keywords: | |
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