Subshifts of finite type and self-similar sets

DOI10.1088/1361-6544/aa53c7zbMath1364.37029arXiv1509.04900OpenAlexW2963745076MaRDI QIDQ2965349

Kan Jiang, Karma Dajani

Publication date: 2 March 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.04900

zbMATH Keywords

Hausdorff dimensionsubshift of finite typeself-similar set

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Special sequences and polynomials (11B83) Symbolic dynamics (37B10) Hausdorff and packing measures (28A78)

Related Items

Univoque graphs for non-integer base expansions ⋮ Isomorphism and bi-Lipschitz equivalence between the univoque sets ⋮ Multiple codings of self-similar sets with overlaps ⋮ Arithmetic representations of real numbers in terms of self-similar sets ⋮ Multiplication on self-similar sets with overlaps ⋮ Estimating the Hausdorff dimensions of univoque sets for self-similar sets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(\beta\)-transformation with a hole
• Hausdorff dimension of univoque sets and devil's staircase
• On self-similar sets with overlaps and inverse theorems for entropy
• A generalized finite type condition for iterated function systems
• Unique expansions of real numbers
• Measures of maximal entropy for random \(\beta\)-expansions
• On univoque points for self-similar sets
• Topological and symbolic dynamics for hyperbolic systems with holes
• HAUSDORFF DIMENSION OF SELF-SIMILAR SETS WITH OVERLAPS
• Hausdorff Dimension in Graph Directed Constructions
• Symbolic dynamics for $\beta$-shifts and self-normal numbers
• Random \beta-expansions
• Almost Every Number Has a Continuum of b-Expansions
• An Introduction to Symbolic Dynamics and Coding
• The doubling map with asymmetrical holes
• On the Hausdorff dimension of a family of self-similar sets with complicated overlaps
• Intrinsic Markov Chains
• Hausdorff dimension of unique beta expansions
• Characterization of the unique expansions $1=\sum^{\infty}_{i=1}q^{-n_ i}$ and related problems
• Unique representations of real numbers in non-integer bases

This page was built for publication: Subshifts of finite type and self-similar sets