Every ergodic f-invariant measure with entropy > log max{d_+^{p-1}, d_-^{k-p-1}} is supported on the Julia set J.
and Wu, H., Mixing and CLT for H´enon–Sibony maps: plurisubharmonic observables, preprint(2024), arXiv:2407.15418, 2024, to appear inComment
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On the support of measures of large entropy for H\'enon-Sibony maps
Every ergodic f-invariant measure with entropy > log max{d_+^{p-1}, d_-^{k-p-1}} is supported on the Julia set J.