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Lebesgue measure of the range of additive Lévy processes
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  • Published: 08 February 2008

Lebesgue measure of the range of additive Lévy processes

  • Ming Yang1 

Probability Theory and Related Fields volume 143, pages 597–613 (2009)Cite this article

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  • 1 Citations

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Abstract

We prove a theorem on the Lebesgue measure of the range of additive Lévy Processes and then use this theorem to remove Condition (1.3) of Theorem 1.5 of Khoshnevisan et al. (Ann Probab 31:1097–1141, 2003).

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References

  1. Khoshnevisan D., Xiao Y. and Zhong Y. (2003). Measuring the range of an additive Lévy process. Ann. Probab. 31: 1097–1141

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  2. Khoshnevisan D. and Xiao Y. (2005). Lévy processes: capacity and Hausdorff dimension. Ann. Probab. 33: 841–878

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois, Urbana, IL, 61801, USA

    Ming Yang

Authors
  1. Ming Yang
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Correspondence to Ming Yang.

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Cite this article

Yang, M. Lebesgue measure of the range of additive Lévy processes. Probab. Theory Relat. Fields 143, 597–613 (2009). https://doi.org/10.1007/s00440-008-0138-x

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  • Received: 09 April 2007

  • Revised: 13 January 2008

  • Published: 08 February 2008

  • Issue Date: March 2009

  • DOI: https://doi.org/10.1007/s00440-008-0138-x

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Keywords

  • Additive Lévy processes
  • Lebesgue measure
  • Range

Mathematics Subject Classification (2000)

  • Primary: 60G60
  • 60G51
  • Secondary: 60G17
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