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math.PR2020★ 2 cited
Spectral analysis for some multifractional Gaussian processes
A. I. Karol, A. I. Nazarov
We study the small ball asymptotics problem in for two generalizations of the fractional Brownian motion with variable Hurst parameter. To this end, we perform careful analys…
math.PR2020
Spectral equivalence of Gaussian random functions: operator approach
A. I. Nazarov, Ya. Yu. Nikitin
We introduce a new approach to the spectral equivalence of Gaussian processes and fields, based on the methods of operator theory in Hilbert space. Besides several new results incl…