Y. Petrova

most cited

L_{2}

-small ball asymptotics for Gaussian random functions: a survey

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.PR2023

$L_{2}$ -small ball asymptotics for some demeaned Gaussian processes

Alexander Nazarov, Yulia Petrova

We discuss the centering operation for the Green Gaussian processes and calculate $L_{2}$ -small ball asymptotics for some centered (demeaned) processes.

math.PR2023★ 2 cited

$L_{2}$ -small ball asymptotics for Gaussian random functions: a survey

Alexander Nazarov, Yulia Petrova

This article is a survey of the results on asymptotic behavior of small ball probabilities in $L_{2}$ -norm. Recent progress in this field is mainly based on the methods of spectral t…

math.PR2019

$L_{2}$ -small ball asymptotics for a family of finite-dimensional perturbations of Gaussian functions

Yulia Petrova

In this article we study the small ball probabilities in $L_{2}$ -norm for a family of finite-dimensional perturbations of Gaussian functions. We define three types of perturbations:…

L2​-small ball asymptotics for some demeaned Gaussian processes

L2​-small ball asymptotics for Gaussian random functions: a survey

L2​-small ball asymptotics for a family of finite-dimensional perturbations of Gaussian functions

$L_{2}$ -small ball asymptotics for some demeaned Gaussian processes

$L_{2}$ -small ball asymptotics for Gaussian random functions: a survey

$L_{2}$ -small ball asymptotics for a family of finite-dimensional perturbations of Gaussian functions