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G-L\'{e}vy Processes under Sublinear Expectations

Probability 2009-11-19 v1

Abstract

We introduce G-L\'{e}vy processes which develop the theory of processes with independent and stationary increments under the framework of sublinear expectations. We then obtain the L\'{e}vy-Khintchine formula and the existence for G-L\'{e}vy processes. We also introduce G-Poisson processes.

Keywords

Cite

@article{arxiv.0911.3533,
  title  = {G-L\'{e}vy Processes under Sublinear Expectations},
  author = {Mingshang Hu and Shige Peng},
  journal= {arXiv preprint arXiv:0911.3533},
  year   = {2009}
}

Comments

28 pages

R2 v1 2026-06-21T14:13:11.505Z