Differentiable equivalence of fractional linear maps
| dc.creator | Schweiger, Fritz | |
| dc.date | 2006-08-10 | |
| dc.date.accessioned | 2026-07-07T07:21:37Z | |
| dc.date.available | 2026-07-07T07:21:37Z | |
| dc.description | A Moebius system is an ergodic fibred system $(B,T)$ (see \citer5) defined on an interval $B=[a,b]$ with partition $(J_k),k\in I,#I\geq 2$ such that $Tx=\frac{c_k+d_kx}{a_k+b_kx}$, $x\in J_k$ and $T|_{J_k}$ is a bijective map from $J_k$ onto $B$. It is well known that for $#I=2$ the invariant density can be written in the form $h(x)=\int_{B^*}\frac{dy}{(1+xy)^2}$ where $B^*$ is a suitable interval. This result does not hold for $#I\geq 3$. However, in this paper for $#I=3$ two classes of interval maps are determined which allow the extension of the before mentioned result. | |
| dc.description | Published at http://dx.doi.org/10.1214/074921706000000257 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0608250 | |
| dc.identifier | http://arxiv.org/abs/math/0608250 | |
| dc.identifier | IMS Lecture Notes--Monograph Series 2006, Vol. 48, 237-247 | |
| dc.identifier | doi:10.1214/074921706000000257 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115360 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Number Theory | |
| dc.subject | 37A05, 37A05 (Primary) 11K55, 37E05 (Secondary) | |
| dc.title | Differentiable equivalence of fractional linear maps | |
| dc.type | text |