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math.PR2023
-small ball asymptotics for some demeaned Gaussian processes
Alexander Nazarov, Yulia Petrova
We discuss the centering operation for the Green Gaussian processes and calculate -small ball asymptotics for some centered (demeaned) processes.
math.PR2023★ 2 cited
-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 -norm. Recent progress in this field is mainly based on the methods of spectral t…
math.AP2023
Hardy type inequalities with mixed weights in cones
Gabriele Cora, Roberta Musina, Alexander I. Nazarov
We study Hardy type inequalities involving mixed cylindrical and spherical weights, for functions supported in cones. These inequalities are related to some singular or degenerate…