English

Strictly ergodic Toeplitz $\mathbb{Z}^d$-subshifts with arbitrary entropy

Dynamical Systems 2024-10-30 v1

Abstract

In this work, we present a comprehensive construction that proves the existence of strictly ergodic Toeplitz Zd\mathbb{Z}^d-subshifts which admit arbitrary given entropy. Moreover, any of these constructed subshifts will have the same maximal equicontinuous factor.

Keywords

Cite

@article{arxiv.2410.21915,
  title  = {Strictly ergodic Toeplitz $\mathbb{Z}^d$-subshifts with arbitrary entropy},
  author = {Jamal Drewlo},
  journal= {arXiv preprint arXiv:2410.21915},
  year   = {2024}
}

Comments

25 pages, 3 figures

R2 v1 2026-06-28T19:39:26.576Z