Stable sets of certain non-uniformly hyperbolic horseshoes have the expected dimension

@article{Matheus2017StableSO,
  title={Stable sets of certain non-uniformly hyperbolic horseshoes have the expected dimension},
  author={Carlos Matheus and Jacob Palis and J. C. Yoccoz},
  journal={arXiv: Dynamical Systems},
  year={2017}
}
  • Carlos Matheus, Jacob Palis, J. C. Yoccoz
  • Published 2017
  • Mathematics
  • arXiv: Dynamical Systems
  • We show that the stable and unstable sets of non-uniformly hyperbolic horseshoes arising in some heteroclinic bifurcations of surface diffeomorphisms have the value conjectured in a previous work by the second and third authors of the present paper. Our results apply to first heteroclinic bifurcations associated to horseshoes with Hausdorff dimension $<22/21$ of conservative surface diffeomorphisms.