Normal approximation for a random elliptic equation
From MaRDI portal
Publication:398777
DOI10.1007/s00440-013-0517-9zbMath1325.35297OpenAlexW2092871579MaRDI QIDQ398777
Publication date: 15 August 2014
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00440-013-0517-9
Central limit and other weak theorems (60F05) Random operators and equations (aspects of stochastic analysis) (60H25) Second-order elliptic equations (35J15) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items
Noise-stability and central limit theorems for effective resistance of random electric networks ⋮ Pointwise two-scale expansion for parabolic equations with random coefficients ⋮ Eigenvalue Fluctuations for Lattice Anderson Hamiltonians ⋮ Normal approximation for the net flux through a random conductor ⋮ High order correctors and two-scale expansions in stochastic homogenization ⋮ The structure of fluctuations in stochastic homogenization ⋮ Annealed estimates on the Green function ⋮ A variance reduction strategy for numerical random homogenization based on the equivalent inclusion method ⋮ An Embedded Corrector Problem for Homogenization. Part I: Theory ⋮ Effective multipoles in random media ⋮ A central limit theorem for the effective conductance: linear boundary data and small ellipticity contrasts ⋮ Lipschitz regularity for elliptic equations with random coefficients ⋮ Scaling Limit of Fluctuations in Stochastic Homogenization ⋮ A Quantitative Central Limit Theorem for the Effective Conductance on the Discrete Torus ⋮ Efficient Rare Event Simulation for Failure Problems in Random Media ⋮ A Control Variate Approach Based on a Defect-Type Theory for Variance Reduction in Stochastic Homogenization ⋮ Special quasirandom structures: a selection approach for stochastic homogenization ⋮ The additive structure of elliptic homogenization
Cites Work
- Noise-stability and central limit theorems for effective resistance of random electric networks
- Recent progress on the random conductance model
- An optimal variance estimate in stochastic homogenization of discrete elliptic equations
- A sharp bound on the \(L^2\) norm of the solution of a random elliptic difference equation
- Fluctuations of eigenvalues and second order Poincaré inequalities
- An Efron-Stein inequality for nonsymmetric statistics
- A lower bound on the variance of conductance in random resistor networks
- Approximation of the effective conductivity of ergodic media by periodization
- Approximations of effective coefficients in stochastic homogenization
- Green's functions for elliptic and parabolic equations with random coefficients
- Elliptic partial differential equations of second order
- Averaging of symmetric diffusion in random medium
- A central limit theorem for the effective conductance: linear boundary data and small ellipticity contrasts
- On homogenization and scaling limit of some gradient perturbations of a massless free field
- Fluctuations of extensive functions of quenched random couplings
- Random integrals and correctors in homogenization
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Tail estimates for homogenization theorems in random media
- Random heterogeneous materials. Microstructure and macroscopic properties
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Normal approximation for a random elliptic equation
