English

Multiparameter L\'evy white noise theory and applications

Probability 2025-10-30 v1

Abstract

We construct a white noise theory and white noise calculus for the (multi-parameter) L\' evy sheet and its compensated Poisson random measures. The theory applies to stochastic partial differential equations subject to L\' evy noise.

Keywords

Cite

@article{arxiv.2510.25525,
  title  = {Multiparameter L\'evy white noise theory and applications},
  author = {Olfa Draouil and Rahma Yasmina Moulay Hachemi and Bernt Øksendal},
  journal= {arXiv preprint arXiv:2510.25525},
  year   = {2025}
}
R2 v1 2026-07-01T07:11:53.594Z