Dimension spectrum for sofic systems

DOI10.1155/2014/624523zbMath1302.37009OpenAlexW2024268247WikidataQ59046070 ScholiaQ59046070MaRDI QIDQ2248380

Chih-Hung Chang, Jung-Chao Ban, Ting-Ju Chen, Mei-Shao Lin

Publication date: 26 June 2014

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/624523

Mathematics Subject Classification ID

Symbolic dynamics (37B10)

Cites Work

• Non-uniform specification and large deviations for weak Gibbs measures
• The pressure function for products of non-negative matrices.
• Lyapunov exponents for products of matrices and multifractal analysis. II: General matrices
• Lyapunov spectrum of asymptotically sub-additive potentials
• Symbolic dynamics. One-sided, two-sided and countable state Markov shifts
• Projection of Markov measures may be Gibbsian
• Hausdorff dimensions of sofic affine-invariant sets
• Intrinsic ergodicity beyond specification: \({\beta}\)-shifts, \(S\)-gap shifts, and their factors
• Irregular sets, the $𝛽$-transformation and the almost specification property
• Uniqueness of the measure with full dimension on sofic affine-invariant subsets of the 2-torus
• The Hausdorff dimension of general Sierpiński carpets
• Finitary measures for subshifts of finite type and sofic systems
• An Introduction to Symbolic Dynamics and Coding

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