Affiliations: Centro de Modelamiento Matemático, Universidad de Chile, Av. Blanco Encalada 2120, Piso 7, Santiago, Chile. aballier@dim.uchile.cl | CNRS & Department of Mathematics, FI-20014 University of Turku, Finland. pierre.guillon@math.cnrs.fr | Department of Mathematics, FI-20014 University of Turku, Finland. jkari@utu.fi
Note: [] Research supported by the FONDECYT Postdoctorado Proyecto 3110088 Research supported by the Academy of Finland Grant 131558
Note: [] Research supported by the Academy of Finland Grant 131558 Address for correspondence: Department of Mathematics, FI-20014 University of Turku, Finland
Note: [] Research supported by the Academy of Finland Grant 131558 Address for correspondence: Department of Mathematics, FI-20014 University of Turku, Finland
Abstract: We construct a cellular automaton (CA) with a sofic and mixing limit set and then construct a stable CA with the same limit set, showing there exist subshifts that can be limit sets of both stable and unstable CAs, answering a question raised by A. Maass.
