English

$L_2$-small ball asymptotics for Gaussian random functions: a survey

Probability 2023-06-26 v1 Spectral Theory

Abstract

This article is a survey of the results on asymptotic behavior of small ball probabilities in L2L_2-norm. Recent progress in this field is mainly based on the methods of spectral theory of differential and integral operators.

Keywords

Cite

@article{arxiv.2305.08927,
  title  = {$L_2$-small ball asymptotics for Gaussian random functions: a survey},
  author = {Alexander Nazarov and Yulia Petrova},
  journal= {arXiv preprint arXiv:2305.08927},
  year   = {2023}
}

Comments

65 pages, 2 figures

R2 v1 2026-06-28T10:35:08.827Z