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

Peng Sun

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arXiv · 1906.09862

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

Peng Sun

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Abstract

For a dynamical system satisfying the approximate product property and asymptotically entropy expansiveness, we characterize a delicate structrue of the space of invariant measures: The ergodic measures of intermediate entropies and intermediate pressures are generic in certain subspaces. This proves a conjecture of Katok for a broad class of systems and extends a sequence of known results.

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Peng Sun. 2022-09-30. Ergodic measures of intermediate entropies for dynamical systems with the approximate product property. https://arxiv.org/abs/1906.09862

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