English

A note on refracted L\'evy processes without positive jumps

Probability 2016-04-04 v2

Abstract

For a refracted spectrally negative Levy process, we find some new and fantastic formulas for its q-potential measures without killing. Unlike previous results, which are written in terms of the known q-scale functions, our formulas are free of the q-scale functions. This makes our results become extremely important since it is likely that our formulas also hold for a general refracted Levy process.

Keywords

Cite

@article{arxiv.1603.04944,
  title  = {A note on refracted L\'evy processes without positive jumps},
  author = {Jiang Zhou and Lan Wu},
  journal= {arXiv preprint arXiv:1603.04944},
  year   = {2016}
}
R2 v1 2026-06-22T13:11:57.668Z