Estimates for the Stable Dimension for Holomorphic Maps


We study the Hausdorff dimension of the intersection between stable manifolds and basic sets for an Axiom A holomorphic endomorphism on the complex projective space P². For a map which is at least d'-to-1 on a basic set Lambda, 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 diffeomorphisms. Also a lower estimate for..

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