Dynamical zeta functions for maps of the interval
| dc.creator | Ruelle, David | |
| dc.date | 1994-04-01 | |
| dc.date.accessioned | 2026-07-07T09:15:06Z | |
| dc.date.available | 2026-07-07T09:15:06Z | |
| dc.description | A dynamical zeta function $ζ$ and a transfer operator $\scr L$ are associated with a piecewise monotone map $f$ of the interval $[0,1]$ and a weight function $g$. The analytic properties of $ζ$ and the spectral properties of $\scr L$ are related by a theorem of Baladi and Keller under an assumption of ``generating partition''. It is shown here how to remove this assumption and, in particular, extend the theorem of Baladi and Keller to the case when $f$ has negative Schwarzian derivative. | |
| dc.description | 3 pages | |
| dc.identifier | https://arxiv.org/abs/math/9404235 | |
| dc.identifier | http://arxiv.org/abs/math/9404235 | |
| dc.identifier | Bull. Amer. Math. Soc. (N.S.) 30 (1994) 212-214 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152905 | |
| dc.subject | Dynamical Systems | |
| dc.title | Dynamical zeta functions for maps of the interval | |
| dc.type | text |