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多维非一致双曲系统与台球中关联衰减的尖锐多项式界

动力系统 2021-06-04 v4

作者: Henk Bruin , Ian Melbourne , Dalia Terhesiu

在 arXiv 上查看 ↗ PDF ↗

摘要

Gouezel 与 Sarig 引入了算子更新理论，作为证明某类非一致扩张映射关联多项式衰减尖锐结果的方法。在本文中，我们将该方法应用于平面分散台球与多维非马尔可夫间歇映射。

关键词

算子更新理论关联的多项式衰减非一致双曲系统分散台球间歇映射

引用

@article{arxiv.1811.07775,
  title  = {Sharp polynomial bounds on decay of correlations for multidimensional nonuniformly hyperbolic systems and billiards},
  author = {Henk Bruin and Ian Melbourne and Dalia Terhesiu},
  journal= {arXiv preprint arXiv:1811.07775},
  year   = {2021}
}

备注

Final version. To appear in Annales Henri Lebesgue (Some gaps fixed from previous "final" version; main theorems and examples unchanged.)