Unique expansions and intersections of Cantor sets

DOI10.1088/1361-6544/aa6078zbMath1404.11007arXiv1604.00858OpenAlexW2338495981MaRDI QIDQ5346529

Derong Kong, Simon Baker

Publication date: 24 May 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.00858

zbMATH Keywords

Hausdorff dimensionunique expansionsexpansions in non-integer basesdigit frequenciesintersections of Cantor sets

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Topological entropy (37B40) Radix representation; digital problems (11A63) Symbolic dynamics (37B10) Hausdorff and packing measures (28A78)

Related Items (3)

Intersection of Sierpinski gasket with its translation ⋮ INTERSECTIONS OF TRANSLATION OF A CLASS OF SIERPINSKI CARPETS ⋮ Intersections of middle-α Cantor sets with a fixed translation

Cites Work

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• Intersections of homogeneous Cantor sets and beta-expansions
• On theβ-expansions of real numbers
• Intersections of thick Cantor sets
• Unique Developments in Non-Integer Bases
• Almost Every Number Has a Continuum of b-Expansions
• Random intersections of thick Cantor sets
• Combinatorics of linear iterated function systems with overlaps
• Unique representations of real numbers in non-integer bases

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