Smoothness of solenoidal attractors
| dc.creator | Avila, Artur | |
| dc.creator | Gouezel, Sebastien | |
| dc.creator | Tsujii, Masato | |
| dc.date | 2005-03-08 | |
| dc.date.accessioned | 2026-07-07T05:17:46Z | |
| dc.date.available | 2026-07-07T05:17:46Z | |
| dc.description | We consider dynamical systems generated by skew products of affine contractions on the real line over angle-multiplying maps on the circle $S^1$: $ T:S^{1}\times \R\to S^1\times \R, T(x,y)=(\ell x, λy+f(x)) $ where $\ell\geq 2$, $0<λ<1$ and $f$ is a $C^r$ function on $S^1$. We show that, if $λ^{1+2s}\ell>1$ for some $0\leq s< r-2$, the density of the SBR measure for $T$ is contained in the Sobolev space $W^s(S^1\times \R)$ for almost all ($C^r$ generic, at least) $f$. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0503144 | |
| dc.identifier | http://arxiv.org/abs/math/0503144 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74428 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37A25; 37D30 | |
| dc.title | Smoothness of solenoidal attractors | |
| dc.type | text |