English

Martin boundary for some symmetric L\'evy processes

Probability 2014-05-05 v1

Abstract

In this paper we study the Martin boundary of open sets with respect to a large class of purely discontinuous symmetric L\'evy processes in Rd{\mathbb R}^d. We show that, if DRdD\subset {\mathbb R}^d is an open set which is κ\kappa-fat at a boundary point QDQ\in \partial D, then there is exactly one Martin boundary point associated with QQ and this Martin boundary point is minimal.

Cite

@article{arxiv.1405.0295,
  title  = {Martin boundary for some symmetric L\'evy processes},
  author = {Panki Kim and Renming Song and Zoran Vondraček},
  journal= {arXiv preprint arXiv:1405.0295},
  year   = {2014}
}

Comments

36 pages

R2 v1 2026-06-22T04:04:22.869Z