Uniform Dimension Results for the Inverse Images of Symmetric Lévy Processes

Hyunchul Park (), Yimin Xiao () and Xiaochuan Yang ()
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Hyunchul Park: State University of New York at New Paltz
Yimin Xiao: Michigan State University
Xiaochuan Yang: Michigan State University

Journal of Theoretical Probability, 2020, vol. 33, issue 4, 2213-2232

Abstract: Abstract We prove uniform Hausdorff and packing dimension results for the inverse images of a large class of real-valued symmetric Lévy processes. Our main result for the Hausdorff dimension extends that of Kaufman (C R Acad Sci Paris Sér I Math 300:281–282, 1985) for Brownian motion and that of Song et al. (Electron Commun Probab 23:10, 2018) for $$\alpha $$ α -stable Lévy processes with $$1

Keywords: Primary 60J75; 60G52; 60G17; 28A80 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10959-019-00956-3

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