Dynamical multifractal zeta-functions, multifractal pressure and fine multifractal spectra

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Abstract

We introduce multifractal pressure and dynamical multifractal zeta-functions, providing precise information on a very general class of multifractal spectra, including, for example, the fine multifractal spectra of self-conformal measures and the fine multifractal spectra of ergodic Birkhoff averages of continuous functions.
Original languageEnglish
Pages (from-to)207-253
JournalJournal d'Analyse Mathématique
Volume131
DOIs
Publication statusPublished - 1 Mar 2017

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