This paper is devoted to the proof of a conjecture of N. Moshchevitin related to the study of the approximation properties of badly approximable vectors. The proof uses the parametric geometry of numbers and relies on a fundamental theorem of D. Roy.
"On a conjecture of N. Moshchevitin." Mosc. J. Comb. Number Theory 11 (1) 115 - 124, 2022. https://doi.org/10.2140/moscow.2022.11.115