Packing dimension of images of additive Lévy processes
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Abstract:
In this paper we generalize the packing dimension profiles defined by Khoshnevisan, Schilling, and Xiao (2012) to higher dimensions and use it to compute the packing dimension of an arbitrary image of an additive Lévy process.References
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Additional Information
- Liang Zhang
- Affiliation: Department of Mathematics, University of Utah, Salt Lake City, Utah 84112
- Address at time of publication: Department of Statistics and Probability, C-409 Wells Hall, Michigan State University, East Lansing, Michigan 48824
- Email: lzhang81@stt.msu.edu
- Received by editor(s): June 18, 2012
- Received by editor(s) in revised form: September 19, 2012
- Published electronically: September 19, 2013
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 366 (2014), 2719-2736
- MSC (2010): Primary 60G17; Secondary 60G60, 60J45, 28A80
- DOI: https://doi.org/10.1090/S0002-9947-2013-05970-3
- MathSciNet review: 3165653