Multiple Points of Operator Semistable Levy Processes

We determine the Hausdorff dimension of the set of k-multiple points for a symmetric operator semistable Levy process X={X(t),t is an element of R+}X=\{X(t), t\in {\mathbb {R}}_+\}$$\end{document} in terms of the eigenvalues of its stability exponent. We also give a necessary and sufficient condition for the existence of k-multiple points. Our results extend to all k >= 2 the recent work (Luks and Xiao in J Theor Probab 30(1):297-325, 2017) where the set of double points (k=2)(k = 2)$$\end{document} was studied in the symmetric operator stable case.