Dynamical multifractal zeta-functions and fine multifractal spectra of graph-directed self-conformal constructions
Dynamical Systems
2019-02-20 v1
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.
Keywords
Cite
@article{arxiv.1411.5530,
title = {Dynamical multifractal zeta-functions and fine multifractal spectra of graph-directed self-conformal constructions},
author = {Vuksan Mijovic and Lars Olsen},
journal= {arXiv preprint arXiv:1411.5530},
year = {2019}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1309.7865