Distribution of frequencies of digits via multifractal analysis

2002/12/01 by L. Barreira, Luís Barreira, B. Saussol +3 · 68 citations
Computer Science · Mathematics · Physics and Astronomy · #Cellular Automata and Applications #Chaos control and synchronization #Class (philosophy) #Computer science #Dimension (graph theory) #Discrete mathematics #Distribution (mathematics) #Dynamical systems theory #Effective dimension #Fractal #Hausdorff dimension #Hausdorff measure #Hausdorff space #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Multifractal system #Pure mathematics #Real line #Representation (politics)

paper · doi:10.1016/s0022-314x(02)00003-3

published in Journal of Number Theory 97(2), 410-438 (Elsevier BV)

openalex publication_date 2002/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/26

Citations

• Variational principles and mixed multifractal spectra
• Sets of “Non-typical” points have full topological entropy and full Hausdorff dimension
• Topological entropy for noncompact sets

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• Fractal Subseries of the Harmonic Series
• Higher-dimensional multifractal value sets for conformal infinite graph directed Markov systems