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20092026
most citedHausdorff measure of sets of Dirichlet non-improvable numbers

46 citations · 153 across the 30 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.NT2019

Higher dimensional shrinking target problem in beta dynamical systems

Mumtaz Hussain, Weiliang Wang

We consider the two dimensional shrinking target problem in the beta dynamical system for general and with the general error of approximations. Let be two positive con…

math.DS2019★ 21 cited

Hausdorff dimension of a set in the theory of continued fractions

Ayreena Bakhtawar, Philip Bos, Mumtaz Hussain

In this article we calculate the Hausdorff dimension of the set \begin{equation*} \mathcal{F}(Φ)=\left\{ x\in \lbrack 0,1):\begin{aligned}a_{n+1}(x)a_n(x) \geq Φ(n) \ {\rm for \ in…

math.NT2019★ 1 cited

Diophantine approximation on curves

Mumtaz Hussain, Johannes Schleischitz, David Simmons

Let be a dimension function. The Generalised Baker-Schmidt Problem (1970) concerns the -dimensional Hausdorff measure ($\HH^g$-measure) of the set of -approximable points…