部分双曲斜积的相关性衰减
Decay of Correlations for Partially Hyperbolic Skew-Products
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中文总结 AI 辅助
研究部分双曲斜积的相关性衰减率，基于截面转移算子及其不动点正则性开发技术，并将其应用于维亚纳型映射、斜积映射及广义异混沌面包师映射族，展示该技术适用范围。
中文摘要 AI 辅助
我们开发了一种基于截面转移算子及其不动点正则性的技术，用于研究部分双曲斜积的相关性衰减率。为说明该技术的适用范围，我们将其应用于具有非均匀收缩纤维的一类维亚纳型映射、具有非均匀扩张基动力学的一类斜积映射以及广义异混沌面包师映射族。后一类部分双曲系统因与戴克移位的联系最近成为研究热点。
英文摘要
We develop a technique based on sectional transfer operators and the regularity of their fixed points to study rates of correlation decay for partially hyperbolic skew-products. To illustrate the range of applicability of this technique, we apply it to a family of Viana like maps with non-uniformly contracting fibres, a family of skew-product maps with non-uniformly expanding base dynamics and to a generalised family of heterochaos baker maps. The latter partially hyperbolic systems have recently been an active topic of research due to their connection with the Dyck shift.
