• Mathematics, Computer Science
  • Published in
    Multiscale Modeling…
    2007
  • DOI:10.1137/070709311

Central Limits and Homogenization in Random Media

@article{Bal2007CentralLA,
  title={Central Limits and Homogenization in Random Media},
  author={Guillaume Bal},
  journal={Multiscale Modeling & Simulation},
  year={2007},
  volume={7},
  pages={677-702}
}
We consider the perturbation of elliptic operators of the form $P(\bx,\bD)$ by random, rapidly varying, sufficiently mixing, potentials of the form $q(\frac{\bx}\eps,\omega)$. We analyze the source and spectral problems associated to such operators and show that the properly renormalized difference between the perturbed and unperturbed solutions may be written asymptotically as $\eps\to0$ as explicit Gaussian processes. Such results may be seen as central limit corrections to the… CONTINUE READING

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