Parametric linearization of skew products
Dynamical Systems
2022-10-12 v1
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 Fr\'echet spaces. We apply our result to the linearization of totally projectively expanding Cantor sets.
Cite
@article{arxiv.2210.05256,
title = {Parametric linearization of skew products},
author = {Pierre Berger and Bernhard Reinke},
journal= {arXiv preprint arXiv:2210.05256},
year = {2022}
}