Parametric linearization of skew products
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2022
- DOI:
- 10.48550/arXiv.2210.05256
- arXiv:
- arXiv:2210.05256
- Bibcode:
- 2022arXiv221005256B
- Keywords:
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- Mathematics - Dynamical Systems