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math.DS2021★ 1 cited
Dimension estimates for badly approximable affine forms
Taehyeong Kim, Wooyeon Kim, Seonhee Lim
For given and , we say that a real matrix is -badly approximable for the target if $$\liminf_{q\in\mathbb{Z}^n, \|q\|\to\infty} \|q\|…
math.DS2020★ 1 cited
Hausdorff measure of sets of Dirichlet non-improvable affine forms
Taehyeong Kim, Wooyeon Kim
For a decreasing real valued function , a pair of a real matrix and is said to be -Dirichlet improvable if the sy…