Abstract
Let f:I I be a C^2 multimodal interval map satisfying polynomial growth of the derivatives along critical orbits. We prove the existence and uniqueness of equilibrium states for the potential _t:x-t|Df(x)| for t close to 1, and also that the pressure function t P(_t) is analytic on an appropriate interval near t = 1.
| Original language | English |
|---|---|
| Pages (from-to) | 559-600 |
| Number of pages | 42 |
| Journal | Annales Scientifiques de l’école Normale Supérieure |
| Volume | 42 |
| Issue number | 4 |
| Publication status | Published - 2009 |