Applications of multifractal divergence points to sets of numbers defined by their $N$-adic expansion

By Lars Olsen. Mathematical Proceedings of the Cambridge Philosophical Society, 2004

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Topological and fractal properties of real numbers which are not normal (2005, unknown): “Let us consider two sequencesk ′ m(i) = k ′ m andk ′′ m(i) = k ′′ m,m∈ N, wherek ′ m+ 1 is the number of the position at which the m-th group of the fixed digits ”i” is started, andk ′′ m is the number of the position at which the m-th group of the fixed digits ”i” is finished.”