The Hausdorff Dimension of Conformal Repellers under Random Perturbation

@inproceedings{OCHSAbstract1998TheHD,
  title={The Hausdorff Dimension of Conformal Repellers under Random Perturbation},
  author={GUNTER OCHSAbstract},
  year={1998}
}
  • GUNTER OCHSAbstract
  • Published 1998
We prove that the Hausdorr dimension of a conformal repeller is stable under random perturbations. Our perturbation model uses the notion of a bundle random dynamical system. The main ingredient of our proof is a version of the Bowen-Ruelle formula for expanding almost conformal bundle random dynamical systems.