Journal of Applied Mathematics and Stochastic Analysis
Volume 2008 (2008), Article ID 564601, 7 pages
Research Article

The Packing Measure of the Trajectory of a One-Dimensional Symmetric Cauchy Process

A. C. Okoroafor

Department of Mathematics, Abia State University, 440001 Uturu, Nigeria

Received 3 August 2007; Revised 27 May 2008; Accepted 12 August 2008

Academic Editor: Mohsen Pourahmadi

Copyright © 2008 A. C. Okoroafor. 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.


Let Xt={X(t),t0} be a one-dimensional symmetric Cauchy process. We prove that, for any measure function, φ,φp(X[0,τ]) is zero or infinite, where φp(E) is the φ-packing measure of E, thus solving a problem posed by Rezakhanlou and Taylor in 1988.