Pisot substitutions and the Hausdorff dimension of boundaries of atomic surfaces

DOI10.21099/tkbjm/1496165037zbMath1130.37318OpenAlexW1505426394MaRDI QIDQ864062

Jun Wu, Maki Furukado, Shunji Ito, De-Jun Feng

Publication date: 12 February 2007

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21099/tkbjm/1496165037

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Symbolic dynamics (37B10) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (4)

Unimodular Pisot substitutions and their associated tiles ⋮ Discrepancy Bounds for β $$\boldsymbol{\beta }$$ -adic Halton Sequences ⋮ Fourier transform of Rauzy fractals and point spectrum of 1D Pisot inflation tilings ⋮ \(AH\)-substitution and Markov partition of a group automorphism on \(T^d\)

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