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Packing dimension profiles and Lévy processes
Author(s) -
Khoshnevisan D.,
Schilling R. L.,
Xiao Y.
Publication year - 2012
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bds022
Subject(s) - dimension (graph theory) , packing dimension , mathematics , extension (predicate logic) , packing problems , complex dimension , order (exchange) , combinatorics , minkowski–bouligand dimension , pure mathematics , mathematical analysis , fractal dimension , computer science , fractal , finance , economics , programming language
We extend the concept of packing dimension profiles, due to Falconer and Howroyd [‘Packing dimensions of projections and dimension profiles’, Math. Proc. Cambridge Philos. Soc. 121 (1997) 269–286] and Howroyd [‘Box and packing dimensions of projections and dimension profiles’, Math. Proc. Cambridge Philos. Soc. 130 (2001) 135–160], and use our extension in order to determine the packing dimension of an arbitrary image of a general Lévy process.