Measure rigidity beyond uniform hyperbolicity: Invariant Measures for Cartan actions on Tori
| dc.creator | Kalinin, Boris | |
| dc.creator | Katok, Anatole | |
| dc.date | 2006-02-08 | |
| dc.date.accessioned | 2026-07-07T07:03:15Z | |
| dc.date.available | 2026-07-07T07:03:15Z | |
| dc.description | We prove that every smooth action of Z^k, k>1, on the (k+1)-dimensional torus homotopic to an action by hyperbolic linear maps preserves an absolutely continuous measure. This is a first known result concerning abelian groups of diffeomorphisms where existence of an invariant geometric structure is obtained from homotopy data. | |
| dc.description | 28 pages | |
| dc.identifier | https://arxiv.org/abs/math/0602176 | |
| dc.identifier | http://arxiv.org/abs/math/0602176 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108899 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37C40 (Primary) 37D25, 37C85 (Secondary) | |
| dc.title | Measure rigidity beyond uniform hyperbolicity: Invariant Measures for Cartan actions on Tori | |
| dc.type | text |