English

A transformation for L\'evy processes with one-sided jumps and applications

Probability 2010-10-20 v1

Abstract

The aim of this work is to extend and study a family of transformations between Laplace exponents of L\'evy processes which have been introduced recently in a variety of different contexts by Patie, Kyprianou and Patie, and, Gnedin, as well as in older work of Urbanik . We show how some specific instances of this mapping prove to be useful for a variety of applications.

Keywords

Cite

@article{arxiv.1010.3819,
  title  = {A transformation for L\'evy processes with one-sided jumps and applications},
  author = {Marie Chazal and Andreas E. Kyprianou and Pierre Patie},
  journal= {arXiv preprint arXiv:1010.3819},
  year   = {2010}
}
R2 v1 2026-06-21T16:30:36.003Z