English

Limit laws for functionals of self-intersection symmetric alpha-stable processes

Probability 2022-10-31 v1

Abstract

In this paper, we prove two limit laws for functionals of self-intersection symmetric alpha-stable processes with alpha\in(1,2). The results are obtained based on the method of moments, the sample configuration and the chaining argument introduced in (Nualart and Xu 2013) are employed.

Cite

@article{arxiv.2210.16152,
  title  = {Limit laws for functionals of self-intersection symmetric alpha-stable processes},
  author = {Minhao Hong and Qian Yu},
  journal= {arXiv preprint arXiv:2210.16152},
  year   = {2022}
}

Comments

18 pages

R2 v1 2026-06-28T04:43:21.288Z