Non literal tranducers and some problems of normality
Journal de Théorie des Nombres de Bordeaux, Tome 5 (1993) no. 2, pp. 303-321.

A new proof of Maxfield’s theorem is given, using automata and results from Symbolic Dynamics. These techniques permit to prove that points that are near normality to base p k (resp. p) are also near normality to base p (resp. p k ), and to study genericity preservation for non Lebesgue measures when going from one base to the other. Finally, similar results are proved to bases the golden mean and its square.

@article{JTNB_1993__5_2_303_0,
     author = {Blanchard, Fran\c{c}ois},
     title = {Non literal tranducers and some problems of normality},
     journal = {Journal de Th\'eorie des Nombres de Bordeaux},
     pages = {303--321},
     publisher = {Universit\'e Bordeaux I},
     volume = {5},
     number = {2},
     year = {1993},
     doi = {10.5802/jtnb.95},
     zbl = {0817.11037},
     mrnumber = {1265907},
     language = {en},
     url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.95/}
}
François Blanchard. Non literal tranducers and some problems of normality. Journal de Théorie des Nombres de Bordeaux, Tome 5 (1993) no. 2, pp. 303-321. doi : 10.5802/jtnb.95. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.95/

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