Asymptotic structure in substitution tiling spaces

DOI10.1017/etds.2012.118zbMath1290.52018arXiv1101.4902OpenAlexW2107163493MaRDI QIDQ5408729

Carl Olimb, Marcy M. Barge

Publication date: 11 April 2014

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4902

zbMATH Keywords

self-similarsubstitution tiling spaceaperiodic tiling of \(\mathbb{R}^d\)translational asymptoticstranslationally finite local complexity

Mathematics Subject Classification ID

Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items

Geometrical and spectral properties of Pisot substitutions, Geometry, dynamics and spectrum of operators on discrete spaces. Abstracts from the workshop held January 3--9, 2021 (online meeting), Proximality and pure point spectrum for tiling dynamical systems, The Pisot conjecture for -substitutions, On pointwise periodicity in tilings, cellular automata, and subshifts, Factors of Pisot tiling spaces and the Coincidence Rank Conjecture

Cites Work

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