Uniform packing dimension results for multiparameter stable processes*

In this article, authors discuss the problem of uniform packing dimension of the image set of multiparameter stochastic processes without random uniform Hölder condition, and obtain the uniform packing dimension of multiparameter stable processes. If Z is a stable (N, d, α)-process and αN ≤ d, then the following holds with probability 1Dim Z(E) = α DimE for any Borel setE ∈ B(RN+),where Z(E)={x:∃t∈E,Z(t)=x}Z(E)={x:∃t∈E,Z(t)=x}. Dim(E) denotes the packing dimension of E.