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

Vuksan Mijovic, Lars Ole Ronnow Olsen

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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.
Original languageEnglish
Pages (from-to)1992-1971
Number of pages50
JournalErgodic Theory and Dynamical Systems
Volume36
Issue number6
Early online date11 Feb 2015
DOIs
Publication statusPublished - Sept 2016

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