Intersections of multiplicative translates of 3-adic Cantor sets

DOI10.4171/JFG/11zbMath1332.11074arXiv1308.3133OpenAlexW2964215957MaRDI QIDQ2019206

William C. Abram, Jeffrey C. Lagarias

Publication date: 27 March 2015

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3133

zbMATH Keywords

Hausdorff dimensionfinite automata\(p\)-adic arithmeticgraph-directed construction

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Entropy and other invariants (28D20) Fractals (28A80) Symbolic dynamics (37B10) Non-Archimedean dynamical systems (11S82)

Related Items (4)

Path sets in one-sided symbolic dynamics ⋮ Hausdorff and box dimensions of self-affine sets in a locally compact non-Archimedean field ⋮ \(p\)-adic path set fractals and arithmetic ⋮ Decimation and interleaving operations in one-sided symbolic dynamics

Cites Work

• Unnamed Item
• Path sets in one-sided symbolic dynamics
• The Hausdorff dimension of some exceptional sets of \(p\)-adic integer matrices
• On the structure of the intersection of two middle third Cantor sets
• \(p\)-adic path set fractals and arithmetic
• Some Unconventional Problems in Number Theory
• Intersections of Multiplicative Translates of 3-Adic Cantor Sets II: Two Infinite Families

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