Published October 2009
| Version v1
Journal article
The Hausdorff dimension of average conformal repellers under random perturbation
Creators
- 1. Department of Mathematics, Suzhou University, Suzhou 215006, Jiangsu (China)
- 2. Department of Applied Mathematics, National Dong Hwa University, Hualien 97401, Taiwan (China)
Description
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. At the end of this paper, we give an example of an average conformal repeller which is not a conformal repeller
Availability note (English)
Available from http://dx.doi.org/10.1088/0951-7715/22/10/005Additional details
Identifiers
- DOI
- 10.1088/0951-7715/22/10/005;
- PII
- S0951-7715(09)02255-5;
Publishing Information
- Journal Title
- Nonlinearity (Print)
- Journal Volume
- 22
- Journal Issue
- 10
- Journal Page Range
- p. 2405-2416
- ISSN
- 0951-7715
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 45035153
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- CONFORMAL GROUPS; CONFORMAL MAPPING; DISTURBANCES; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; RANDOMNESS
- Descriptors DEC
- LIE GROUPS; MAPPING; SYMMETRY GROUPS; TOPOLOGICAL MAPPING; TRANSFORMATIONS