Structure and f-dependence of the a.c.i.m. for a unimodal map f of Misiurewicz type
| dc.creator | Ruelle, David | |
| dc.date | 2007-10-10 | |
| dc.date.accessioned | 2026-07-07T08:35:27Z | |
| dc.date.available | 2026-07-07T08:35:27Z | |
| dc.description | By using a suitable Banach space on which we let the transfer operator act, we make a detailed study of the ergodic theory of a unimodal map $f$ of the interval in the Misiurewicz case. We show in particular that the absolutely continuous invariant measure $ρ$ can be written as the sum of 1/square root spikes along the critical orbit, plus a continuous background. We conclude by a discussion of the sense in which the map $f\mapstoρ$ may be differentiable. | |
| dc.identifier | https://arxiv.org/abs/0710.2015 | |
| dc.identifier | http://arxiv.org/abs/0710.2015 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139750 | |
| dc.subject | Dynamical Systems | |
| dc.title | Structure and f-dependence of the a.c.i.m. for a unimodal map f of Misiurewicz type | |
| dc.type | text |