The Hausdorff dimension of average conformal repellers under random perturbation
Dynamical Systems
2009-09-30 v1
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.
Keywords
Cite
@article{arxiv.0909.5261,
title = {The Hausdorff dimension of average conformal repellers under random perturbation},
author = {Yun Zhao and Yongluo Cao and Jungchao Ban},
journal= {arXiv preprint arXiv:0909.5261},
year = {2009}
}
Comments
15pages