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20132020
most citedEstimates for functionals of solutions to higher-order heat-type equations with random initial conditions

13 citations · 49 across the 10 of their papers we have counts for

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Showing 2013 · math.PRShow all

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math.PR2013

Uniform convergence of compactly supported wavelet expansions of Gaussian random processes

Yuriy Kozachenko, Andriy Olenko, Olga Polosmak

New results on uniform convergence in probability for expansions of Gaussian random processes using compactly supported wavelets are given. The main result is valid for general cla…

math.PR2013

Convergence rate of wavelet expansions of Gaussian random processes

Andriy Olenko, Yuriy Kozachenko, Olga Polosmak

The paper characterizes uniform convergence rate for general classes of wavelet expansions of stationary Gaussian random processes. The convergence in probability is considered.

math.PR2013★ 3 cited

On convergence of general wavelet decompositions of nonstationary stochastic processes

Yuriy Kozachenko, Andriy Olenko, Olga Polosmak

The paper investigates uniform convergence of wavelet expansions of Gaussian random processes. The convergence is obtained under simple general conditions on processes and wavelets…

math.PR2013★ 13 cited

Uniform convergence of wavelet expansions of Gaussian random processes

Yuriy Kozachenko, Andriy Olenko, Olga Polosmak

New results on uniform convergence in probability for the most general classes of wavelet expansions of stationary Gaussian random processes are given.

math.PR2013

Convergence in of wavelet expansions of -sub-Gaussian random processes

Yuriy Kozachenko, Andriy Olenko, Olga Polosmak

The article presents new results on convergence in of wavelet expansions of -sub-Gaussian random processes. The convergence rate of the expansions is obtained. Spec…