Group automorphisms with few and with many periodic points
| dc.creator | Ward, Thomas | |
| dc.date | 2003-06-19 | |
| dc.date.accessioned | 2026-07-07T04:59:04Z | |
| dc.date.available | 2026-07-07T04:59:04Z | |
| dc.description | For any $C\in[0,\infty]$ a compact group automorphism $T:X\to X$ is constructed with the property that $$ \frac{1}{n}\log|\{x\in X\mid T^n(x)=x\}|\longrightarrow C. $$ This may be interpreted as a combinatorial analogue of the (still open) problem of whether compact group automorphisms exist with any given topological entropy. | |
| dc.description | amsart latex 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0306292 | |
| dc.identifier | http://arxiv.org/abs/math/0306292 | |
| dc.identifier | Proc. Amer. Math. Soc., 133, 91-96, 2005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67835 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Number Theory | |
| dc.subject | 37C35; 22D40; 11N13 | |
| dc.title | Group automorphisms with few and with many periodic points | |
| dc.type | text |