11 citations · 23 across the 7 of their papers we have counts for
3 papers · 1 filter
Regularity properties of -Brjuno and Wilton functions
Seul Bee Lee, Stefano Marmi, Izabela Petrykiewicz +1
We study functions related to the classical Brjuno function, namely -Brjuno functions and the Wilton function. Both appear in the study of boundary regularity properties of (qua…
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 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…