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arXiv · 2410.21915

Entropy and strict ergodicity for multidimensional Toeplitz subshifts

Jamal Drewlo
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Abstract

In this work, we present a self-contained construction that proves the existence of strictly ergodic Toeplitz $\mathbb{Z}^d$-subshifts with arbitrary prescribed entropy. Moreover, any of these constructed subshifts will have the same maximal equicontinuous factor, which is the universal odometer over $\mathbb{Z}^d$.

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Jamal Drewlo. 2024-10-29. Entropy and strict ergodicity for multidimensional Toeplitz subshifts. https://doi.org/10.1016/j.topol.2026.109933

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