Thomas Bogenschuetz, Gunter Ochs
The Hausdorff dimension of conformal repellers under random perturbation
(507K, Postscript)

ABSTRACT.  We prove that the Hausdorff 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.