5 citations · 20 across the 19 of their papers we have counts for
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Hausdorff dimension of particularly non-normal numbers in dynamical systems fulfilling the specification property
Manfred G. Madritsch, Izabela Petrykiewicz
In this paper, we consider non-normal numbers occurring in dynamical systems fulfilling the specification property. It has been shown that in this case the set of non-normal number…
Non-normal numbers with respect to infinite Markov partitions
Manfred Madritsch
In the present paper we investigate two special types of non-normal numbers. On the one hand we call a number extremely non-normal if the set of accumulation points of its frequenc…
Non-normal numbers in dynamical systems fulfilling the specification property
Manfred G. Madritsch, Izabela Petrykiewicz
In the present paper we want to focus on this dichotomy of the non-normal numbers -- on the one hand they are a set of measure zero and on the other hand they are residual -- for d…
Uniform Distribution of Prime Powers and sets of Recurrence and van der Corput sets in Z^k
Vitaly Bergelson, Grigori Kolesnik, Manfred Madritsch +2
We establish new results on sets of recurrence and van der Corput sets in Z^k which refine and unify some of the previous results obtained by Sarkozy, Furstenberg, Kamae and Mendes…