Estimates for the Stable Dimension for Holomorphic Maps

  title={Estimates for the Stable Dimension for Holomorphic Maps},
  author={Eugen Mihailescu and Mariusz Urba},
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

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