Bifurcation frequency for unimodal maps

Abstract

We consider some natural one-parameter unfoldings f μ9 of a unimodal map /o whose periodic points are hyperbolic and whose critical point is nondegenerate and eventually periodic. Among other facts, it follows from our theorems that, if the Julia set of/ 0 does not contain intervals, the relative measure of the bifurcation set is zero at zero.