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<p>We prove existence and uniqueness of absolutely continuous invariant measures for generalizations of Viana maps admitting a higher order critical point introduced in Horita et al. (J Dyn Diff, 2024). As a consequence of our approach, we obtain super-polynomial decay of correlations.</p>

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Invariant Measures of Non-uniformly Expanding Maps with Higher Order Critical Set

  • 期刊论文

  • 发表日期：

    2025年3月17日

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  • Ricardo Chicalé,
  • Vanderlei Horita

摘要

We prove existence and uniqueness of absolutely continuous invariant measures for generalizations of Viana maps admitting a higher order critical point introduced in Horita et al. (J Dyn Diff, 2024). As a consequence of our approach, we obtain super-polynomial decay of correlations.