Semigroup actions on tori and stationary measures on projective spaces
| dc.creator | Guivarc'H, Yves | |
| dc.creator | Urban, Roman | |
| dc.date | 2004-11-24 | |
| dc.date.accessioned | 2026-07-07T05:14:40Z | |
| dc.date.available | 2026-07-07T05:14:40Z | |
| dc.description | Let $Γ$ be a sub-semigroup of $G=GL(d,\mathbb R),$ $d>1.$ We assume that the action of $Γ$ on $\R^d$ is strongly irreducible and that $Γ$ contains a proximal and expanding element. We describe contraction properties of the dynamics of $Γ$ on $\R^d$ at infinity. This amounts to the consideration of the action of $Γ$ on some compact homogeneous spaces of $G,$ which are extensions of the projective space $\pr^{d-1}.$ In the case where $Γ$ is a sub-semigroup of $GL(d,\R)\cap M(d,\Z)$ and $Γ$ has the above properties, we deduce that the $Γ$-orbits on $\T^d=\R^d\slash\Z^d$ are finite or dense. | |
| dc.identifier | https://arxiv.org/abs/math/0411553 | |
| dc.identifier | http://arxiv.org/abs/math/0411553 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73364 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Group Theory | |
| dc.subject | 54H20 ; 22E40 ; 60J05 ; 60B15 | |
| dc.title | Semigroup actions on tori and stationary measures on projective spaces | |
| dc.type | text |