On the topology of arithmetic sums of regular Cantor sets

DOI10.1088/0951-7715/13/6/310zbMath0978.37015OpenAlexW1985318155MaRDI QIDQ4521394

Juan Rivera-Letelier, Carlos Gustavo T.de A. Moreira, Eduardo M. Muñoz Morales

Publication date: 7 February 2002

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/13/6/310

zbMATH Keywords

Hausdorff dimensionsarithmetic sumsregular Cantor setsthickness of a Cantor set

Mathematics Subject Classification ID

Fractals (28A80) Foundations: limits and generalizations, elementary topology of the line (26A03) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)

Related Items (8)

Topological structure of the sum of two homogeneous Cantor sets ⋮ Spectral transitions for the square Fibonacci Hamiltonian ⋮ The structure of arithmetic sums of affine Cantor sets ⋮ Stable intersection of affine Cantor sets defined by two expanding maps ⋮ Multidimensional Schrödinger operators whose spectrum features a half-line and a Cantor set ⋮ Spectral approximation for quasiperiodic Jacobi operators ⋮ Sums of two homogeneous Cantor sets ⋮ Set of uniqueness for Cantorvals

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