English

On the $1/H$-variation of the divergence integral with respect to a Hermite process

Probability 2025-09-16 v1

Abstract

In this paper, a divergence-type integral of a random integrand with respect to the Hermite process of order kNk\in\mathsf{N} with Hurst parameter H(1/2,1)H\in (1/2,1) is defined and it is shown that the integral is of finite 1/H1/H-variation.

Keywords

Cite

@article{arxiv.2509.11737,
  title  = {On the $1/H$-variation of the divergence integral with respect to a Hermite process},
  author = {Petr Čoupek and Pavel Kříž and Matěj Svoboda},
  journal= {arXiv preprint arXiv:2509.11737},
  year   = {2025}
}

Comments

21 pages