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20082026
most citedHausdorff measure of sets of Dirichlet non-improvable numbers

46 citations · 84 across the 12 of their papers we have counts for

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9 papers · 1 filter

math.NT2026

Hausdorff dimension for exactly approximable matrices

Yubin He, Bixuan Li, Baowei Wang

We establish the Hausdorff dimension for exactly approximable matrices for all dimensions, including the inhomogeneous case. More precisely, let be a non-increa…

math.NT2022★ 5 cited

Metrical properties for the weighted products of multiple partial quotients in continued fractions

Ayreena Bakhtawar, Mumtaz Hussain, Dmitry Kleinbock +1

The classical Khintchine and Jarník theorems, generalizations of a consequence of Dirichlet's theorem, are fundamental results in the theory of Diophantine approximation. These the…

math.NT2021★ 1 cited

A note on weighted simultaneous Diophantine approximation on manifolds

Demi Allen, Baowei Wang

In this note, we present an improvement to a recent result due to Beresnevich, Levesley, and Ward (2021) pertaining to weighted simultaneous Diophantine approximation on manifolds.

math.NT2021★ 1 cited

Diophantine analysis of the expansions of a fixed point under continuum many bases

Fan Lv, Baowei Wang, Jun Wu

In this paper, we study the Diophantine properties of the orbits of a fixed point in its expansions under continuum many bases. More precisely, let be the beta-transformation…

math.NT2021

Mahler's question for intrinsic Diophantine approximation on triadic Cantor set: the divergence theory

Bo Tan, Baowei Wang, Jun Wu

In this paper, we consider the intrinsic Diophantine approximation on the triadic Cantor set , i.e. approximating the points in by rational numbers insid…

math.NT2019★ 9 cited

Mass transference principle from rectangles to rectangles in Diophantine approximation

Baowei Wang, Jun Wu

By introducing a ubiquity property for rectangles, we prove the mass transference principle from rectangles to rectangles, i.e., if a sequence of rectangles forms a ubiquity system…