English

Periodicity in tilings

Discrete Mathematics 2009-09-23 v1

Abstract

Tilings and tiling systems are an abstract concept that arise both as a computational model and as a dynamical system. In this paper, we characterize the sets of periods that a tiling system can produce. We prove that up to a slight recoding, they correspond exactly to languages in the complexity classes \nspacen\nspace{n} and \cne\cne.

Cite

@article{arxiv.0909.3997,
  title  = {Periodicity in tilings},
  author = {Emmanuel Jeandel and Pascal Vanier},
  journal= {arXiv preprint arXiv:0909.3997},
  year   = {2009}
}
R2 v1 2026-06-21T13:49:06.329Z