English

Spectral analysis for some multifractional Gaussian processes

Probability 2021-12-22 v1 Spectral Theory

Abstract

We study the small ball asymptotics problem in L2L_2 for two generalizations of the fractional Brownian motion with variable Hurst parameter. To this end, we perform careful analysis of the singular values asymptotics for associated integral operators.

Keywords

Cite

@article{arxiv.2009.12272,
  title  = {Spectral analysis for some multifractional Gaussian processes},
  author = {A. I. Karol and A. I. Nazarov},
  journal= {arXiv preprint arXiv:2009.12272},
  year   = {2021}
}

Comments

17 pages

R2 v1 2026-06-23T18:47:54.213Z