Effective closed subshifts in 1D can be implemented in 2D

  title={Effective closed subshifts in 1D can be implemented in 2D},
  author={Bruno Durand and Andrei E. Romashchenko and Alexander Shen},
  booktitle={Fields of Logic and Computation},
In this paper we use fixed point tilings to answer a question po sed by Michael Hochman and show that every one-dimensional effectively closed subshift can be i mplemented by a local rule in two dimensions. The proof uses the fixed-point construction of an aperiodic tile set an d its extensions. 

From This Paper

Figures, tables, and topics from this paper.
22 Citations
9 References
Similar Papers


Publications referenced by this paper.
Showing 1-9 of 9 references

On the dynamic and recursive properties of mul tidimensional symbolic systems. Inventiones mathematicae

  • M. Hochman
  • 2009
Highly Influential
3 Excerpts

Sablik , personal communication ( submittedfor publication as of February

  • M. N. Aubrun
  • 2010

Sablik, personal communication (submitted for publication

  • M. N. Aubrun
  • 2010
1 Excerpt

The Undecidability of the Domino Problem

  • R. Berger
  • Mem. Amer. Math. Soc. ,
  • 1966
1 Excerpt

Similar Papers

Loading similar papers…