Maximal entropy measures for Viana maps

Details Maximal entropy measures for Viana maps Maximal entropy measures for Viana maps

2003-12-08

arxiv.org/abs/math/0312173v2

Mathematics

Dynamical Systems

Scientific paper

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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