Fractal dimensions of continuous piecewise linear iterated function systems

DOI10.1090/PROC/16430arXiv2302.04333MaRDI QIDQ6095803

Unnamed Author, Károly Simon, Peter Raith

Publication date: 8 September 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.04333

zbMATH Keywords

Hausdorff dimensionpiecewise linear iterated function system

Mathematics Subject Classification ID

Fractals (28A80) Dynamical systems involving maps of the interval (37E05)

Cites Work

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• On self-similar sets with overlaps and inverse theorems for entropy
• Piecewise invertible dynamical systems
• On Furstenberg's intersection conjecture, self-similar measures, and the \(L^q\) norms of convolutions
• Non-negative matrices and Markov chains.
• Hausdorff dimension for piecewise monotonic maps
• A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems
• Dimension of ergodic measures projected onto self‐similar sets with overlaps
• Piecewise linear iterated function systems on the line of overlapping construction

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