On arithmetic progressions in non-periodic self-affine tilings
نویسندگان
چکیده
We study the repetition of patches in self-affine tilings R^d. In particular, we existence and non-existence arithmetic progressions. first show that an condition expansion map for a tiling implies certain one-dimensional Next, full-rank infinite progressions, pure discrete dynamical spectrum, limit periodicity are all equivalent class tilings. finish by giving complete picture existence/non-existence progressions self-similar
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2021
ISSN: ['0143-3857', '1469-4417']
DOI: https://doi.org/10.1017/etds.2021.59