Substitution tilings with transcendental inflation factor

Authors

Dirk Frettlöh
Alexey Garber, The University of Texas Rio Grande Valley
Neil Mañibo

Document Type

Article

Publication Date

8-2022

Abstract

For any λ>2, we construct a substitution on an infinite alphabet which gives rise to a substitution tiling with inflation factor λ. In particular, we obtain the first class of examples of substitutive systems with transcendental inflation factors. We also show that both the associated subshift and tiling dynamical systems are strictly ergodic, which is related to the quasicompactness of the underlying substitution operator.

Recommended Citation

Frettlöh, Dirk, Alexey Garber, and Neil Mañibo. "Substitution tilings with transcendental inflation factor." arXiv preprint arXiv:2208.01327 (2022).

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.