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math.NT2011★ 83 cited
The set of badly approximable vectors is strongly incompressible
Ryan Broderick, Lior Fishman, Dmitry Kleinbock +2
We prove that the countable intersection of -diffeomorphic images of certain Diophantine sets has full Hausdorff dimension. For example, we show this for the set of badly appr…
math.NT2011★ 12 cited
Intrinsic Approximation on Cantor-like Sets, a Problem of Mahler
Ryan Broderick, Lior Fishman, Asaf Reich
In 1984, Kurt Mahler posed the following fundamental question: How well can irrationals in the Cantor set be approximated by rationals in the Cantor set? Towards development of suc…