Packing Dimension Profiles and Levy Processes
Davar Khoshnevisan, Rene Schilling, and Yimin Xiao
TL;DR
This paper extends packing dimension profiles to analyze the packing dimension of images of Levy processes, providing a new tool for understanding their fractal properties.
Contribution
The authors develop an extended concept of packing dimension profiles and apply it to Levy processes to determine their image dimensions.
Findings
Extended packing dimension profiles for Levy processes
Derived formulas for the packing dimension of Levy process images
Enhanced understanding of fractal properties of Levy process images
Abstract
We extend the concept of packing dimension profiles, due to Falconer and Howroyd (1997) and Howroyd (2001), and use our extension in order to determine the packing dimension of an arbitrary image of a general Levy process.
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Taxonomy
TopicsMathematical Dynamics and Fractals