English

A decomposition for additive functional of Levy processes

Probability 2014-10-07 v4

Abstract

Motivated by the recent results of Nualart and Xu \cite{Nualart} concerning limits laws for occupation times of one dimensional symmetric stable processes, this paper proves a decomposition for functionals of one dimensional symmetric L\'evy processes under certain conditions on the characteristic exponent and computes the moments of the decomposition.

Keywords

Cite

@article{arxiv.1309.0142,
  title  = {A decomposition for additive functional of Levy processes},
  author = {Luis Acuna Valverde},
  journal= {arXiv preprint arXiv:1309.0142},
  year   = {2014}
}
R2 v1 2026-06-22T01:18:29.364Z