On pointwise periodicity in tilings, cellular automata, and subshifts

Tom Meyerovitch, Ville Salo

Research output: Contribution to journalArticlepeer-review


We study implications of expansiveness and pointwise periodicity for certain groups and semigroups of transformations. Among other things we prove that every pointwise periodic finitely generated group of cellular automata is necessarily finite. We also prove that a subshift over any finitely generated group that consists of finite orbits is finite, and related results for tilings of Euclidean space.

Original languageEnglish
Pages (from-to)549-578
Number of pages30
JournalGroups, Geometry, and Dynamics
Issue number2
StatePublished - 1 Jan 2019


  • Expansiveness
  • Subshifts
  • Tilings

All Science Journal Classification (ASJC) codes

  • Geometry and Topology
  • Discrete Mathematics and Combinatorics


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