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arXiv · 1411.5530

Dynamical multifractal zeta-functions and fine multifractal spectra of graph-directed self-conformal constructions

Vuksan Mijovic·Lars Olsen
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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.

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Vuksan Mijovic, Lars Olsen. 2014-11-20. Dynamical multifractal zeta-functions and fine multifractal spectra of graph-directed self-conformal constructions. https://doi.org/10.1017/etds.2014.140

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