The Hausdorff dimension of average conformal repellers under random perturbation

Details The Hausdorff dimension of average conformal repellers under random perturbation The Hausdorff dimension of average conformal repellers under random perturbation

2009-09-29

arxiv.org/abs/0909.5261v1

Nonlinearity 22 (2009) 2405-2416

Mathematics

Dynamical Systems

15pages

Scientific paper

10.1088/0951-7715/22/10/005

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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