Uniform dimension results for a family of Markov processes
arXiv:1707.03102
Abstract
In this paper we prove uniform Hausdorff and packing dimension results for the images of a large family of Markov processes. The main tools are the two covering principles of Xiao (second author). As applications, uniform Hausdorff and packing dimension results for certain classes of Lévy processes, stable jump diffusion and non-symmetric stable-like processes are obtained.
We revised the assumptions (A2) and (A3) in the previous version, the new assumptions are more general and expected to cover more examples