Abstract
Let σ be an ergodic endomorphism of the r-dimensional torus and Π a semigroup generated by two affine transformations lying above a. We show that the flow defined by Π admits minimal sets of positive Hausdorff dimension and we give necessary and sufficient conditions for this flow to be minimal.
| Original language | English |
|---|---|
| Pages (from-to) | 187-193 |
| Number of pages | 7 |
| Journal | Journal of the Australian Mathematical Society |
| Volume | 39 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Jan 1985 |
| Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics
Fingerprint
Dive into the research topics of 'Minimal F2-flows'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver