MULTIFRACTAL SPECTRUM AND THERMODYNAMICAL FORMALISM OF THE FAREY TREE

DOI10.1142/S0218127401002754zbMath1090.28501arXivmath-ph/0002046OpenAlexW1994806912MaRDI QIDQ5474196

M. Piacquadio, Eda Cesaratto

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0002046

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80)

Related Items (2)

Multifractal spectrum of an experimental (video feedback) Farey tree ⋮ THE GEOMETRY OF FAREY STAIRCASES

Cites Work

• Ising models on the Lobachevsky plane
• Inverse measures, the inversion formula, and discontinuous multifractals
• Non-euclidean geometry, continued fractions, and ergodic theory
• Multifractal decompositions of Moran fractals
• Inversion formula for continuous multifractals
• The Modular Surface and Continued Fractions
• Dimension, entropy and Lyapunov exponents
• ARNOLD FLAMES AND RESONANCE SURFACE FOLDS
• CONTROL OF THE ARNOLD CIRCLE MAP
• Exceptions to the multifractal formalism for discontinuous measures
• Cantor Staircases in Physics and Diophantine Approximations

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