Estimates for the Stable Dimension for Holomorphic Maps

@inproceedings{Mihailescu2001EstimatesFT,
title={Estimates for the Stable Dimension for Holomorphic Maps},
author={Eugen Mihailescu and Mariusz Urba},
year={2001}
}

We study the Hausdorr dimension of the intersection between stable manifolds and basic sets for an Axiom A holomorphic endomorphism on the complex projective space P 2. For a map which is at least d 0-to-1 on a basic set , we are improving the upper estimate given in 11] by taking into consideration the number of preimages, and thus proving for non-invertible maps results parallel to those of Verjovsky-Wu 17] from the case of Henon diieomorphisms. Also a lower estimate for HD(W s (x) \) is… CONTINUE READING