The packing indices for some Lévy processes

Let X={Xt,t≥0} be a Lévy process, and γ0=sup{α≥0:lim infa→0a−αET(a,1)<∞}, where T(a,1)=∫01I{|Xt|≤a}dt. Taylor (1986) showed that the packing dimension of the trajectory of X is γ0.