Random integral operators related to the point processes
In the article we study properties of the random integral operator in $L_2(\mathbb{R})$ whose kernel is obtained as a convolution of Gaussian density with a stationary point process.
math.PR↗
arXiv subjects
Iaroslava Korenovska
Publications and source records attributed to Iaroslava Korenovska.
Essential sets for random operators constructed from Arratia flow
In this paper we consider a strong random operator $T_t$ which describes shift of functions from $L_2(\mathbb{R})$ along an Arratia flow. We find a compact set in $L_2(\mathbb{R})$ that doesn't disappear under $T_t$, and estimate its Kolmogorov widths.
math.PR↗