Badly approximable points in twisted Diophantine approximation and Hausdorff dimension

Paloma Bengoechea, Nikolay Moshchevitin

For any j_1,...,j_n>0 with j_1+...+j_n=1 and any x \in R^n, we consider the set of points y \in R^n for which max_{1\leq i\leq n}(||qx_i-y_i||^{1/j_i})>c/q for some positive consta…