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Average frequencies of digits in infinite IFS’s and applications to continued fractions and Lüroth expansions

Average frequencies of digits in infinite IFS’s and applications to continued fractions and Lüroth expansions

Abstract The detailed investigation of the distribution of frequencies of digits of points belonging to attractors K of Infinite iterated functions systems (IIFS’s) is a fundamental and important problem in the study of attractors of IIFS’s. This paper studies the Baire category of different families of sets of points belonging …