Convergence of random oscillatory integrals in the presence of long-range dependence and application to homogenization

zbMath1411.60039arXiv1607.01166MaRDI QIDQ4631980

Guangqu Zheng, Ezzeddine Haouala, Atef Lechiheb, Ivan Nourdin

Publication date: 24 April 2019

Full work available at URL: https://arxiv.org/abs/1607.01166

zbMATH Keywords

homogenizationelliptic equationcorrectoroscillatory integralHermite process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10) Stochastic integrals (60H05) Self-similar stochastic processes (60G18) Stochastic integral equations (60H20) Homogenization for problems in thermodynamics and heat transfer (80M40)

Related Items (3)

Scaling limit of the homogenization commutator for Gaussian coefficient fields ⋮ The structure of fluctuations in stochastic homogenization ⋮ Robustness of the pathwise structure of fluctuations in stochastic homogenization

Cites Work

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• Correlation structure of the corrector in stochastic homogenization
• Random homogenization and convergence to integrals with respect to the Rosenblatt process
• Integration questions related to fractional Brownian motion
• Scaling limit of the corrector in stochastic homogenization
• Limiting models for equations with large random potential: a review
• Random integrals and correctors in homogenization
• 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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