Arithmetical hierarchy of the Besicovitch-stability of noisy tilings

L Gayral, M Sablik - Theory of Computing Systems, 2023 - Springer
The purpose of this article is to study the algorithmic complexity of the Besicovitch stability of
noisy subshifts of finite type, a notion studied in a previous article. First, we exhibit an …

Subshifts of Finite Type on Groups: Emptiness and Aperiodicity

N Bitar - 2024 - theses.hal.science
A subshift of finite type is a set of tilings of a group subject to a finite number of local
constraints, where the group acts by translation. In recent years, much progress has been …

Undecidability of dynamical properties of SFTs and sofic subshifts on and other groups

N Carrasco-Vargas - arXiv preprint arXiv:2401.10347, 2024 - arxiv.org
We study the algorithmic undecidability of abstract dynamical properties for sofic $\mathbb
{Z}^{2} $-subshifts and subshifts of finite type (SFTs) on $\mathbb {Z}^{2} $. Within the class …

Contributions to the Domino Problem: Seeding, Recurrence and Satisfiability

N Bitar - arXiv preprint arXiv:2312.08911, 2023 - arxiv.org
We study the seeded domino problem, the recurring domino problem and the $ k $-SAT
problem on finitely generated groups. These problems are generalization of their original …

[PDF][PDF] Symbolic dynamics and groups

A Callard, V Salo - lsv.fr
1In Lemma 2.4, we denote NC1 for “Nick's Class” of complexity of level 1, ie the class of
languages L⊆ Σ∗ such that L is decidable by Boolean circuits with a polynomial number of …

[引用][C] Subshifts on groups and computable analysis

N Carrasco Vargas - 2024 - Ben Gurion University of the Negev