×

zbMATH — the first resource for mathematics

Some properties of cellular automata with equicontinuity points. (English) Zbl 0964.37011
Cellular automata with points of equicontinuity are studied. For these maps it is shown that surjectivity implies the existence of a dense set of periodic points (and this is extended to maps on transitive subshifts of finite type). Any (spatial) shift-invariant measure which gives the set of points of equicontinuity full measure is shown to Cesàro converge; the limiting measure is described and some results on its support are given.

MSC:
37B15 Dynamical aspects of cellular automata
68Q80 Cellular automata (computational aspects)
PDF BibTeX XML Cite
Full Text: DOI Numdam EuDML arXiv