| Affiliation: | Department of Mathematics, The University of Utah, 155 S. 1400 East, Salt Lake City, Utah 84112--0090 ; Department of Statistics and Probability, A-413 Wells Hall, Michigan State University, East Lansing, Michigan 48824 |
| Abstract: | Let  denote a Lévy process in  with exponent  . Taylor (1986) proved that the packing dimension of the range ![$ X([0,,1])$](http://www.ams.org/proc/2008-136-07/S0002-9939-08-09163-6/gif-abstract0/img4.gif) is given by the index We provide an alternative formulation of  in terms of the Lévy exponent  . Our formulation, as well as methods, are Fourier-analytic, and rely on the properties of the Cauchy transform. We show, through examples, some applications of our formula. |
