An informal introduction to quantitative stochastic homogenization
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Publication:5379345
DOI10.1063/1.5089210zbMath1447.58034arXiv1901.05035OpenAlexW2909269298MaRDI QIDQ5379345
Publication date: 28 May 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.05035
Random operators and equations (aspects of stochastic analysis) (60H25) Diffusion processes and stochastic analysis on manifolds (58J65) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
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Cites Work
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- Mesoscopic higher regularity and subadditivity in elliptic homogenization
- An optimal variance estimate in stochastic homogenization of discrete elliptic equations
- Variance decay for functionals of the environment viewed by the particle
- Nonlinear stochastic homogenization
- Quantitative stochastic homogenization and regularity theory of parabolic equations
- Quantitative results on the corrector equation in stochastic homogenization
- Efficient methods for the estimation of homogenized coefficients
- Averaging of symmetric diffusion in random medium
- Quantitative homogenization of differential forms
- Uniform estimate of an iterative method for elliptic problems with rapidly oscillating coefficients
- Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics
- Quantitative homogenization of the disordered \(\nabla \phi \) model
- The additive structure of elliptic homogenization
- On homogenization and scaling limit of some gradient perturbations of a massless free field
- An optimal error estimate in stochastic homogenization of discrete elliptic equations
- Quantitative
- Ergodic theorems for superadditive processes.
- Elliptic Regularity and Quantitative Homogenization on Percolation Clusters
- Homogenization, Linearization, and <scp>Large‐Scale</scp> Regularity for Nonlinear Elliptic Equations
- An iterative method for elliptic problems with rapidly oscillating coefficients
- Quantitative Stochastic Homogenization and Large-Scale Regularity
- Lipschitz regularity for elliptic equations with random coefficients
