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arxiv: math/0312173 · v2 · submitted 2003-12-08 · 🧮 math.DS

Maximal entropy measures for Viana maps

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keywords entropymapscriticalmaximalmeasurespointsvianaattaining
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In this note we construct measures of maximal entropy for a certain class of maps with critical points called Viana maps. The main ingredients of the proof are the non-uniform expansion features and the slow recurrence (to the critical set) of generic points with respect to the natural candidates for attaining the topological entropy.

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