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arXiv · 0909.5261

The Hausdorff dimension of average conformal repellers under random perturbation

Yun Zhao·Yongluo Cao·Jungchao Ban
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Abstract

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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Yun Zhao, Yongluo Cao, Jungchao Ban. 2009-09-29. The Hausdorff dimension of average conformal repellers under random perturbation. https://doi.org/10.1088/0951-7715%2F22%2F10%2F005

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