Automorphisms of free groups have asymptotically periodic dynamics
| dc.creator | Levitt, Gilbert | |
| dc.creator | Lustig, Martin | |
| dc.date | 2004-07-26 | |
| dc.date | 2008-01-31 | |
| dc.date.accessioned | 2026-07-07T10:07:33Z | |
| dc.date.available | 2026-07-07T10:07:33Z | |
| dc.description | We show that every automorphism $α$ of a free group $F_k$ of finite rank $k$ has {\it asymptotically periodic} dynamics on $F_k$ and its boundary $\partial F_k$: there exists a positive power $α^q$ such that every element of the compactum $F_k \cup \partial F_k$ converges to a fixed point under iteration of $α^q$. | |
| dc.description | Final version. To appear in Crelle's journal | |
| dc.identifier | https://arxiv.org/abs/math/0407437 | |
| dc.identifier | http://arxiv.org/abs/math/0407437 | |
| dc.identifier | J. reine angew. Math 619 (2008), 1-36 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170675 | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.title | Automorphisms of free groups have asymptotically periodic dynamics | |
| dc.type | text |