The multifractal analysis of the occupation measure of a Lévy process

We introduce the results on the multifractal structure of the occupation measures of a Brownian Motion, a stable process, a general subordinator and a stochastic process derived from random reordering of the Cantor set. We also introduced an interesting and powerful technique to investigate the multifractal spectrum. Foundation item: Supported by the National Natural Science Foundation of China Biography: Hu Xiao-yu (1964-), female, Professor, research interest: probability theory, random fractals.