Michael Benedicks: Whitney-Hölder continuity of the SRB measure for transversal families of smooth unimodal maps (Joint work with Viviane Baladi and Daniel Schnellman)

Abstract. Abstract: We consider $C^2$ families $t\mapsto f_t$ of $C^4$ nondegenerate unimodal maps,restricted to the Collet-Eckmann parameters.(the derivative at the critical value is growing exponentially)  and prove upper and lower bounds for the weak dependence of the invariant measure as a function of $t$ on this set of parameters.