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arxiv: 0909.5261 · v1 · submitted 2009-09-29 · 🧮 math.DS

The Hausdorff dimension of average conformal repellers under random perturbation

classification 🧮 math.DS
keywords randomaverageconformaldimensionhausdorffperturbationunderbundle
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We prove that the Hausdorff dimension of an average conformal repeller is stable under random perturbations. Our perturbation model uses the notion of a bundle random dynamical system.

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