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Quasihelix properties of selected Volterra Gaussian processes

Probability 2026-05-20 v1

Abstract

We study local quasihelix and generalized quasihelix properties of several Gaussian Volterra processes with tempered, power-weighted, and logarithmic kernels, including tempered fractional Brownian motions and generalized fractional Brownian motion-type processes. These properties depend significantly on the values of the parameters involved, and we consider all possible cases in detail.

Keywords

Cite

@article{arxiv.2605.20026,
  title  = {Quasihelix properties of selected Volterra Gaussian processes},
  author = {Yuliya Mishura and Kostiantyn Ralchenko},
  journal= {arXiv preprint arXiv:2605.20026},
  year   = {2026}
}

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13 pages