Pierre Berger, Bernhard Reinke
Published 2022-10-11Version 1
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.
Unstable directions and dimension for a class of skew products with overlaps
Extensions of exact and K-mixing dynamical systems
Periodic points and measures for a class of skew products
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