Dynamical multifractal zeta-functions and fine multifractal spectra of graph-directed self-conformal constructions
arXiv:1411.5530 · doi:10.1017/etds.2014.140
Abstract
We introduce multifractal pressure and dynamical multifractal zeta-functions providing precise information of a very general class of multifractal spectra, including, for example, the fine multifractal spectra of graph-directed self-conformal measures and the fine multifractal spectra of ergodic Birkhoff averages of continuous functions on graph-directed self-conformal sets.
arXiv admin note: substantial text overlap with arXiv:1309.7865