2012•Bulletin of the London Mathematical SocietyRequires access

Packing dimension profiles and Lévy processes

Davar Khoshnevisan, René L. Schilling, Yimin Xiao

Abstract

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.

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Key concepts: Dimension (graph theory), Packing dimension, Mathematics, Extension (predicate logic), Packing problems, Complex dimension, Order (exchange), Combinatorics