Decay of correlations in suspension semi-flows of angle-multiplying maps
| dc.creator | Tsujii, Masato | |
| dc.date | 2005-11-14 | |
| dc.date | 2007-04-25 | |
| dc.date.accessioned | 2026-07-07T07:58:05Z | |
| dc.date.available | 2026-07-07T07:58:05Z | |
| dc.description | We consider suspension semi-flows of angle-multiplying maps on the circle. Under a $C^r$generic condition on the ceiling function, we show that there exists an anisotropic Sobolev space contained in the $L^2$ space such that the Perron-Frobenius operator for the time-$t$-map acts on it and that the essential spectral radius of that action is bounded by the square root of the inverse of the minimum expansion rate. This leads to a precise description on decay of correlations and extends the result of M. Pollicott. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/math/0511338 | |
| dc.identifier | http://arxiv.org/abs/math/0511338 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127876 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37C30, 37D20 | |
| dc.title | Decay of correlations in suspension semi-flows of angle-multiplying maps | |
| dc.type | text |