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Beresnevich–Velani dimension conjecture for badly approximable points
Beresnevich–Velani dimension conjecture. The Hausdorff dimension of $\mathbf{Bad}_d(\psi)$ is equal to the Hausdorff dimension of $\mathcal W_d(\psi)$ .
Conjectureopenbadly-approximable-points hausdorff-dimension metric-diophantine-approximationarXiv posted 2 days ago

Beresnevich–Velani dimension conjecture for badly approximable points