Fluctuations in 1D stochastic homogenization of pseudo-elliptic equations with long-range dependent potentials

DOI10.1515/ROSE-2018-0003zbMath1457.80014arXiv1701.08012OpenAlexW3098963790MaRDI QIDQ1743326

Atef Lechiheb, Ezzeddine Haouala

Publication date: 13 April 2018

Published in: Random Operators and Stochastic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08012

zbMATH Keywords

long-range dependencefluctuation theoryHermite processesrandom homogenizationpseudo-elliptic equations

Mathematics Subject Classification ID

Random fields; image analysis (62M40) Gaussian processes (60G15) Brownian motion (60J65) Random operators and equations (aspects of stochastic analysis) (60H25) Stochastic integrals (60H05) Homogenization for problems in thermodynamics and heat transfer (80M40)

Cites Work

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• Homogenization and corrector theory for linear transport in random media
• Integration questions related to fractional Brownian motion
• Central Limits and Homogenization in Random Media
• Mean Field and Gaussian Approximation for Partial Differential Equations with Random Coefficients
• Convergence of integrated processes of arbitrary Hermite rank
• Wiener Integrals with Respect to the Hermite Process and a Non-Central Limit Theorem

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