On the distribution of sequences of the form $(q_n y)$

Abstract: The distribution of sequences of the form $(q_n y)$ with $(q_n)$ a sequence of integers and $y$ a real number have attracted quite a bit of attention, for instance due to their relation to inhomogeneous Littlewood type problems. In this talk, we will provide some results on the Lebesgue measure and Hausdorff dimension on the set of points in the unit interval approximated to a certain rate by points from such a sequence. A feature of our approach is that we obtain estimates even in the case when the sequence $(q_n)$ grows rather slowly. This is joint work with Tomas Persson.

dynamical systemsnumber theory

Audience: researchers in the topic

( slides )

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One World Numeration seminar

Series comments: Description: Online seminar on numeration systems and related topics

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