Journal of Applied Mathematics
Volume 2012 (2012), Article ID 906373, 13 pages
http://dx.doi.org/10.1155/2012/906373
Research Article

Chover-Type Laws of the Iterated Logarithm for Continuous Time Random Walks

Kyo-Shin Hwang1 and Wensheng Wang2

1Research Institute of Natural Science, Gyeongsang National University, Jinju 660-701, Republic of Korea
2Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China

Received 25 February 2012; Accepted 19 June 2012

Academic Editor: P. G. L. Leach

Copyright © 2012 Kyo-Shin Hwang and Wensheng Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A continuous time random walk is a random walk subordinated to a renewal process used in physics to model anomalous diffusion. In this paper, we establish Chover-type laws of the iterated logarithm for continuous time random walks with jumps and waiting times in the domains of attraction of stable laws.