论文标题
偏斜产品的参数线性化
Parametric linearization of skew products
论文作者
论文摘要
我们建立了任何维度偏斜产品的线性化标准。我们证明了它们的平滑或塑性参数依赖性。在平稳的环境中,我们使用驯服的fréchet空间的语言。我们将结果应用于完全投射扩展的Cantor集的线性化。
We establish a linearization criterion for skew products of contractions in any dimension. We prove their smooth or holomorphic parameter dependence. In the smooth setting, we use the language of tame Fréchet spaces. We apply our result to the linearization of totally projectively expanding Cantor sets.