𝛽-expansions with deleted digits for Pisot numbers 𝛽

DOI10.1090/S0002-9947-97-02069-2zbMath0919.11053OpenAlexW1515015816MaRDI QIDQ4372602

Steven P. Lalley

Publication date: 16 December 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-02069-2

zbMATH Keywords

entropyHausdorff dimensionPisot numberbeta expansion

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Entropy and other invariants (28D20) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Hausdorff and packing measures (28A78)

Related Items (13)

Conformal iterated function systems with overlaps ⋮ UNIQUE EXPANSION OF POINTS OF A CLASS OF SELF‐SIMILAR SETS WITH OVERLAPS ⋮ Dimension theory of iterated function systems ⋮ A generalized finite type condition for iterated function systems ⋮ Entropy of Bernoulli convolutions and uniform exponential growth for linear groups ⋮ Rauzy Fractal of the Smallest Substitution Associated with the Smallest Pisot Number ⋮ The Hausdorff dimension of the support of the Erdös measure and symbolic dynamics ⋮ Strongly automatic semigroups ⋮ A class of Sierpinski carpets with overlaps ⋮ Iterated function systems of finite type and the weak separation property ⋮ Intersecting nonhomogeneous Cantor sets with their translations ⋮ Exact Hausdorff and packing measures of Cantor sets with overlaps ⋮ Hausdorff dimension of self-similar sets with overlaps

Cites Work

• Unnamed Item
• On the Morphology of γ-Expansions with Deleted Digits
• The Hausdorff Dimension of λ-Expansions with Deleted Digits
• Intrinsic Markov Chains
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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