English

Exponential functionals of Levy processes

Probability 2007-05-23 v1

Abstract

This text surveys properties and applications of the exponential functional 0texp(ξs)ds\int_0^t\exp(-\xi_s)ds of real-valued L\'evy processes ξ=(ξt,t0)\xi=(\xi_t,t\geq0).

Keywords

Cite

@article{arxiv.math/0511265,
  title  = {Exponential functionals of Levy processes},
  author = {Jean Bertoin and Marc Yor},
  journal= {arXiv preprint arXiv:math/0511265},
  year   = {2007}
}

Comments

Published at http://dx.doi.org/10.1214/154957805100000122 in the Probability Surveys (http://www.i-journals.org/ps/) by the Institute of Mathematical Statistics (http://www.imstat.org)