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

Published online by Cambridge University Press:  11 February 2015

V. MIJOVIĆ  and
L. OLSEN
V. MIJOVIĆ
Affiliation:
Department of Mathematics, University of St. Andrews, St. Andrews, Fife KY16 9SS, Scotland email [email protected], [email protected]
L. OLSEN
Affiliation:
Department of Mathematics, University of St. Andrews, St. Andrews, Fife KY16 9SS, Scotland email [email protected], [email protected]
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 36 , Issue 6 , September 2016 , pp. 1922 - 1971
Copyright
© Cambridge University Press, 2015 

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