title: FRACTAL DIMENSION RESULTS FOR CONTINUOUS TIME RANDOM WALKS.
abstract: Continuous time random walks impose random waiting times between particle jumps. This paper computes the fractal dimensions of their process limits, which represent particle traces in anomalous diffusion.
authors.affiliation: Department of Probability and Statistics, Michigan State University, East Lansing, MI 48824, mcubed@stt.msu.edu URL: http://www.stt.msu.edu/users/mcubed/
authors.forename: Mark M
authors.initials: MM
authors.lastname: Meerschaert
authors.forename: Erkan
authors.initials: E
authors.lastname: Nane
authors.forename: Yimin
authors.initials: Y
authors.lastname: Xiao
keywords: Fractional Brownian motion; Hausdorff dimension; Lévy process; continuous time random walk; packing dimension; self-similarity; strictly stable process