Fast dimension spectrum for a potential with a logarithmic singularity

DOI10.1007/s10955-024-03252-5arXiv2306.00515MaRDI QIDQ6131247

Georgios Lamprinakis, Philipp Gohlke, Jörg Schmeling

Publication date: 4 April 2024

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.00515

zbMATH Keywords

multifractal analysisunbounded potential\(g\)-measure

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dimension theory of smooth dynamical systems (37C45)

Cites Work

• The thermodynamic formalism for expanding maps
• A multifractal analysis of equilibrium measures for conformal expanding maps and Moran-like geometric constructions
• Nonuniqueness in \(g\)-functions
• On a family of singular continuous measures related to the doubling map
• Scaling properties of the Thue-Morse measure
• Strongly mixing g-measures
• Multifractal analysis in reciprocal space and the nature of the Fourier transform of self-similar structures
• On Khintchine exponents and Lyapunov exponents of continued fractions
• Ruelle's Operator Theorem and g-Measures
• Invariant Measures and Equilibrium States for Some Mappings which Expand Distances
• [https://portal.mardi4nfdi.de/wiki/Publication:4401805 Principe variationnel et syst�mes dynamiques symboliques]
• MULTIFRACTAL ANALYSIS OF THE BIRKHOFF SUMS OF SAINT-PETERSBURG POTENTIAL
• Big Birkhoff sums in $d$-decaying Gauss like iterated function systems
• Fonctions harmoniques pour un opérateur de transition et applications
• Questions Around the Thue-Morse Sequence
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms