English

Constructions of Coupling Processes for L\'evy Processes

Probability 2011-05-17 v2

Abstract

We construct optimal Markov couplings of L\'{e}vy processes, whose L\'evy (jump) measure has an absolutely continuous component. The construction is based on properties of subordinate Brownian motions and the coupling of Brownian motions by reflection.

Keywords

Cite

@article{arxiv.1009.5511,
  title  = {Constructions of Coupling Processes for L\'evy Processes},
  author = {Björn Böttcher and René L. Schilling and Jian Wang},
  journal= {arXiv preprint arXiv:1009.5511},
  year   = {2011}
}

Comments

16 pages

R2 v1 2026-06-21T16:20:06.933Z