Multifractal analysis of weak Gibbs measures for non-uniformly expanding <i>C</i><sup>1</sup> maps
Multifractal analysis of weak Gibbs measures for non-uniformly expanding <i>C</i><sup>1</sup> maps
Abstract We will consider the local dimension spectrum of a weak Gibbs measure on a C 1 non-uniformly hyperbolic system of MannevilleāPomeau type. We will present the spectrum in three ways: using invariant measures, ergodic invariant measures supported on hyperbolic sets and equilibrium states. We are also proving analyticity of ā¦