English

Maximal displacement of branching symmetric stable processes

Probability 2021-11-05 v2

Abstract

We determine the limiting distribution and the explicit tail behavior for the maximal displacement of a branching symmetric stable process with spatially inhomogeneous branching structure. Here the branching rate is a Kato class measure with compact support and can be singular with respect to the Lebesgue measure.

Keywords

Cite

@article{arxiv.2106.15215,
  title  = {Maximal displacement of branching symmetric stable processes},
  author = {Yuichi Shiozawa},
  journal= {arXiv preprint arXiv:2106.15215},
  year   = {2021}
}