98-489 Thomas Bogenschuetz, Gunter Ochs

The Hausdorff dimension of conformal repellers under random perturbation (507K, Postscript) Jul 3, 98

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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.

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