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 φ t: x → -tlog ____Df(x)____ for t close to 1, and also that the pressure function t → P(φ t) is analytic on an appropriate interval near t = 1. © 2009 Société Mathématique de France.