Abstract
We show that all onto cellular automata defined on the binary sequence space are invariant with respect to the Haar measure, and that an extensive class of such maps (including many nonlinear ones) are strongly mixing with respect to the Haar measure.
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Communicated by J.-P. Eckmann
This work was supported in part by grants from NSERC of Canada
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Shirvani, M., Rogers, T.D. On ergodic one-dimensional cellular automata. Commun.Math. Phys. 136, 599–605 (1991). https://doi.org/10.1007/BF02099076
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DOI: https://doi.org/10.1007/BF02099076