Semiconjugacy of Quasiperiodic Flows and Finite Index Subgroups of Multiplier Groups
| dc.creator | Bakker, Lennard | |
| dc.date | 2004-08-11 | |
| dc.date.accessioned | 2026-07-07T05:11:13Z | |
| dc.date.available | 2026-07-07T05:11:13Z | |
| dc.description | It will be shown that if $ϕ$ is a quasiperiodic flow on the $n$-torus that is algebraic, if $ψ$ is a flow on the $n$-torus that is smoothly conjugate to a flow generated by a constant vector field, and if $ϕ$ is smoothly semiconjugate to $ψ$, then $ψ$ is a quasiperiodic flow that is algebraic, and the multiplier group of $ψ$ is a finite index subgroup of the multiplier group of $ϕ$. This will partially establish a conjecture that asserts that a quasiperiodic flow on the $n$-torus is algebraic if and only if its multiplier group is a finite index subgroup of the group of units of the ring of integers in a real algebraic number field of degree $n$. | |
| dc.description | Submitted to the Proceedings of the AIMS' Fifth International Conference on Dynamical Systems and Differential Equations | |
| dc.identifier | https://arxiv.org/abs/math/0408158 | |
| dc.identifier | http://arxiv.org/abs/math/0408158 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72168 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Group Theory | |
| dc.subject | 37C55; 37C80; 20E34; 11R04 | |
| dc.title | Semiconjugacy of Quasiperiodic Flows and Finite Index Subgroups of Multiplier Groups | |
| dc.type | text |