On the centralizer of diffeomorphisms of the half-line
| dc.creator | Eynard, Hélène | |
| dc.date | 2008-11-07 | |
| dc.date.accessioned | 2026-07-07T10:16:51Z | |
| dc.date.available | 2026-07-07T10:16:51Z | |
| dc.description | Let f be a smooth diffeomorphism of the half-line fixing only the origin and Z^r its centralizer in the group of C^r diffeomorphisms. According to well-known results of Szekeres and Kopell, Z^1 is a one-parameter group. On the other hand, Sergeraert constructed an f whose centralizer Z^r, $2\le r\le \infty$, reduces to the group generated by f. We show that Z^r can actually be a proper dense and uncountable subgroup of Z^1 and that this phenomenon is not scarce. | |
| dc.description | 16 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/0811.1173 | |
| dc.identifier | http://arxiv.org/abs/0811.1173 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173657 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Geometric Topology | |
| dc.subject | 37E05; 57R50 | |
| dc.title | On the centralizer of diffeomorphisms of the half-line | |
| dc.type | text |