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Lévy processes with no positive jumps at an increase time
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  • Published: March 1993

Lévy processes with no positive jumps at an increase time

  • Jean Bertoin1 

Probability Theory and Related Fields volume 96, pages 123–135 (1993)Cite this article

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Summary

We study the behaviour of a Lévy process with no positive jumps near its increase times. Specifically, we construct a local time on the set of increase times. Then, we describe the path decomposition at an increase time chosen at random according to the local time, and we evaluate the rate of escape before and after this instant.

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Authors and Affiliations

  1. Laboratoire de Probabilités (CNRS), Tour 56, Université Pierre et Marie Curie, 4 Place Jussieu, F-75252, Paris Cedex 05, France

    Jean Bertoin

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  1. Jean Bertoin
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Bertoin, J. Lévy processes with no positive jumps at an increase time. Probab. Th. Rel. Fields 96, 123–135 (1993). https://doi.org/10.1007/BF01195886

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  • Received: 27 March 1992

  • Revised: 30 November 1992

  • Issue Date: March 1993

  • DOI: https://doi.org/10.1007/BF01195886

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Mathematics Subject Classification (1980)

  • 60 J 30
  • 60 G 17
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