Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong Convergence to the homogenized limit of elliptic equations with
  random coefficients   Consider a discrete uniformly elliptic divergence form equation on the $d$
dimensional lattice $\Z^d$ with random coefficients. It has previously been
shown that if the random environment is translational invariant, then the
averaged Green's function together with its first and second differences, are
bounded by the corresponding quantities for the constant coefficient discrete
elliptic equation. It has also been shown that if the random environment is
ergodic, then solutions of the random equation converge under diffusive scaling
to solutions of a homogenized elliptic PDE on $\R^d$. In this paper point-wise
estimates are obtained on the difference between the averaged Green's function
and the homogenized Green's function for certain random environments which are
strongly mixing.

22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin