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.
机构:
Univ Strasbourg, Inst Rech Math Avancee, UMR 7501, 7 rue Rene Descartes, F-67000 Strasbourg, France
CNRS, 7 rue Rene Descartes, F-67000 Strasbourg, FranceUniv Strasbourg, Inst Rech Math Avancee, UMR 7501, 7 rue Rene Descartes, F-67000 Strasbourg, France
机构:
Univ Grenoble, Lab LIG, F-38400 St Martin Dheres, France
Ecole Normale Super Lyon, Lab LIP, F-69364 Lyon 07, FranceUniv Grenoble, Lab LIG, F-38400 St Martin Dheres, France
Arrighi, Pablo
Nesme, Vincent
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机构:
Univ Potsdam, D-14476 Potsdam, GermanyUniv Grenoble, Lab LIG, F-38400 St Martin Dheres, France
Nesme, Vincent
Werner, Reinhard
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机构:
Leibniz Univ Hannover, Inst Theoret Phys, D-30167 Hannover, GermanyUniv Grenoble, Lab LIG, F-38400 St Martin Dheres, France