# Uniform non-autonomous basins of attraction

@inproceedings{Bera2022UniformNB, title={Uniform non-autonomous basins of attraction}, author={Sayani Bera and Kaushal Verma}, year={2022} }

It has been conjectured that every stable manifold arising from a holomorphic automorphism, that acts hyperbolically on a compact invariant set, is biholomorphic to complex Euclidean space. Such stable manifolds are known to be biholomorphic to the basin of a uniformly attracting family of holomorphic maps. It is shown that the basin of a uniformly attracting family of holomorphic maps is biholomorphic to complex Euclidean space and this resolves the conjecture on the biholomorphism type of…

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