The Hausdorff dimension of average conformal repellers under random perturbation

DOI10.1088/0951-7715/22/10/005zbMath1189.37026arXiv0909.5261OpenAlexW3102519052MaRDI QIDQ3183663

Jung-Chao Ban, Yun Zhao, Yong-Luo Cao

Publication date: 20 October 2009

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.5261

zbMATH Keywords

random dynamical systemsHausdorff dimensionrandom perturbations

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)

Related Items (6)

Dimensions of random average conformal repellers ⋮ Nonadditive measure-theoretic pressure and applications to dimensions of an ergodic measure ⋮ The asymptotically additive topological pressure on the irregular set for asymptotically additive potentials ⋮ Dimensions of \(C^1\)-average conformal hyperbolic sets ⋮ Measure theoretic pressure and dimension formula for non-ergodic measures ⋮ Exceptional sets for average conformal dynamical systems

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