English

Precise asymptotic approximations for the kernels corresponding to the L\'evy processes

Probability 2016-06-06 v2

Abstract

Using complex analysis techniques we obtain precise asymptotic approximations for the kernels corresponding to the symmetric α\alpha-stable processes and their fractional derivatives. We apply our method to general L\'evy processes whose characteristic functions are radial and satisfy some regularity and size conditions.

Keywords

Cite

@article{arxiv.1209.5692,
  title  = {Precise asymptotic approximations for the kernels corresponding to the L\'evy processes},
  author = {Sihun Jo and Minsuk Yang},
  journal= {arXiv preprint arXiv:1209.5692},
  year   = {2016}
}

Comments

20 pages

R2 v1 2026-06-21T22:10:59.462Z