Multifractal formalism for Benedicks–Carleson quadratic maps
Multifractal formalism for Benedicks–Carleson quadratic maps
Abstract For a positive measure set of non-uniformly expanding quadratic maps on the interval we effect a multifractal formalism, i.e., decompose the phase space into level sets of time averages of a given continuous function and consider the associated Birkhoff spectrum which encodes this decomposition. We derive a formula which …