Dimension results for sample paths of operator stable Lévy processes

Let X = { X ( t ) , t ∈ R + } be an operator stable Lévy process in R d with exponent B, where B is an invertible linear operator on R d . We determine the Hausdorff dimension and the packing dimension of the range X ( [ 0 , 1 ] ) in terms of the real parts of the eigenvalues of B.