Nombres normaux, entropie, translations
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Given a measure μ on the circle, we study the relations between the entropy of the multiplication by an integerp and the conservativity for the translations by thep-acid rational numbers. We get a criterium for μ-almost every point to be normal in a basisq prime top, and generalizations of the result of D. Rudolph about measures which are invariant by multiplication byp andq.
KeywordsRiesz Product Marseille Cedex Petite Modification Singular Transformation Independant Process
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