Hausdorff Dimension Results of Processes with Self-Similar Components

In this paper, processes of the form X(t)=(X 1(t),X 2(t),…,X N(t)) where X i(t)(t∈R +) is an independent α i self similar Markov process in R d i and d=∑ N i=1 d i, are considered. The Hausdorff dimensions of the image and graph set of X(t) are obtained under certain mild conditions.