Equilibrium states for potentials with $\supϕ- \infϕ< \htop(f)$
| dc.creator | Bruin, Henk | |
| dc.creator | Todd, Mike | |
| dc.date | 2007-08-02 | |
| dc.date | 2008-08-14 | |
| dc.date.accessioned | 2026-07-07T09:58:33Z | |
| dc.date.available | 2026-07-07T09:58:33Z | |
| dc.description | In the context of smooth interval maps, we study an inducing scheme approach to prove existence and uniqueness of equilibrium states for potentials $ϕ$ with he `bounded range' condition $\sup ϕ- \inf ϕ< \htop$, first used by Hofbauer and Keller. We compare our results to Hofbauer and Keller's use of Perron-Frobenius operators. We demonstrate that this `bounded range' condition on the potential is important even if the potential is Hölder continuous. We also prove analyticity of the pressure in this context. | |
| dc.description | Added Lemma 6 to deal with the disparity between leading eigenvalues and operator norms. Added extra references and corrected some typos | |
| dc.identifier | https://arxiv.org/abs/0708.0374 | |
| dc.identifier | http://arxiv.org/abs/0708.0374 | |
| dc.identifier | Commun. Math. Phys. 283 (2008) 579-611 | |
| dc.identifier | doi:10.1007/s00220-008-0596-0 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167756 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37D35, 37E05, 37D25 | |
| dc.title | Equilibrium states for potentials with $\supϕ- \infϕ< \htop(f)$ | |
| dc.type | text |