Mean Hausdorff dimension of some infinite dimensional fractals for amenable group actions
For the countable discrete amenable group actions, we calculate the mean Hausdorff dimensions of three types of infinite dimensional fractal systems, the self-similar systems, homogeneous systems in the infinite-dimensional torus, and the infinite dimensional-carpets.
Authors
- X. Li (ORCID: https://orcid.org/0000-0001-6975-102X)
- Luo Xiao-fang (ORCID: https://orcid.org/0009-0003-6257-355X)
Institutions
- Sun Yat-sen University (CN)
- Southern Marine Science and Engineering Guangdong Laboratory (Guangzhou) (CN)
Publication Details
- Journal
- Journal of Mathematical Physics
- Published
- 2025-12-01
- DOI
- https://doi.org/10.1063/5.0258258
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00