Multiple points of operator semistable L\'evy processes

We determine the Hausdorff dimension of $k$-multiple points for a symmetric operator semistable L'evy process $X=\{X(t),t\in {\mathbb{R}}_{+}\}$ in terms of the eigenvalues of its stability exponent. We also give a necessary and sufficient condition for the existence of $k$-multiple points. Our results extend to all $k\ge 2$ the recent work [23], where the set of double points $(k = 2)$ was studied in the symmetric operator stable case.