most citedAsymptotic decomposition of solutions to parabolic equations with a random microstructure

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2 papers

math.ST2026

Asymptotic analysis of the finite predictor for fractional Gaussian noise

P. Chigansky, M. Kleptsyna

This paper proposes a new approach to the asymptotic analysis of the finite predictor for stationary sequences. Our method yields the exact asymptotics of both the relative predict…

math.AP2026★ 1 cited

Asymptotic decomposition of solutions to parabolic equations with a random microstructure

Marina Kleptsyna, Andrey Piatnitski, Alexandre Popier

We consider a Cauchy problem for a divergence form second order parabolic operator with rapidly oscillating coefficients that are periodic in spatial variables and random stationar…