Dimension and measure theoretic entropy of a subshift in symbolic space

DOI10.1007/BF02882845zbMath0896.58025MaRDI QIDQ1373826

Ercai Chen, Jin Cheng Xiong

Publication date: 25 November 1997

Published in: Chinese Science Bulletin (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionsymbolic spacesubshiftmeasure theoretic entropy

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Ergodic theory (37A99) Low-dimensional dynamical systems (37E99)

Related Items (5)

High pointwise emergence and Katok’s conjecture for symbolic systems with non-uniform structure ⋮ Mean dimension theory in symbolic dynamics for finitely generated amenable groups ⋮ Projection pressure and Bowen's equation for a class of self-similar fractals with overlap structure ⋮ Structure and dimension of invariant subsets of expanding Markov maps and joint invariance ⋮ The projection pressure for asymptotically weak separation condition and Bowen's equation

Cites Work

• Unnamed Item
• Intersecting random translates of invariant Cantor sets
• Dimension, entropy and Lyapunov exponents
• Dimensions and Measures of Quasi Self-Similar Sets

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