解析非线性区间交换变换的重整化与刚性
Renormalization and rigidity of analytic non-linear interval exchange transformations
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中文总结 AI 辅助
本文为边界较小的解析广义区间交换变换构造双曲重整化马蹄，进而刻画其光滑共轭类的流形结构。
中文摘要 AI 辅助
我们为有界类型且具有有界几何的解析广义区间交换变换（GIETs）构造双曲重整化马蹄，前提是其边界较小（但不一定为零）。作为推论，我们描述了GIETs光滑共轭类的流形结构。
英文摘要
We construct hyperbolic renormalization horseshoes for analytic generalized interval exchange transformations (GIETs) of bounded type and with bounded geometry, provided their boundaries are small (but not necessarily zero). As a consequence, we describe the manifold structure of smooth conjugacy classes of GIETs.
