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arXiv:1906.09862 [math.DS]AbstractReferencesReviewsResources

Ergodic measures of intermediate entropies for dynamical systems with approximate product property

Peng Sun

Published 2019-06-24Version 1

Consider a dynamical system with asymptotic entropy expansiveness and approximate product property. We show that it has ergodic measures of arbitrary intermediate entropies. A similar conclusion actually holds in every neighborhood of an invariant measure. Moreover, for such systems the ergodic measures of zero entropy forms a residual set in the space of invariant measures.

Categories: math.DS
Subjects: 37A35, 37C50
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