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- Title
Approximation of the effective conductivity of ergodic media by periodization.
- Authors
Owhadi, Houman
- Abstract
This paper is concerned with the approximation of the effective conductivity σ(A, μ) associated to an elliptic operator ∇[sub xA] (x,η)∇[sub x] where for x⋳ℝ[sup d] , d≥1, A(x,η) is a bounded elliptic random symmetric d×d matrix and η takes value in an ergodic probability space (X, μ). Writing A[sup N] (x, η) the periodization of A(x, η) on the torus T[sup d] [sub N] of dimension d and side N we prove that for μ-almost all η
- Subjects
ERGODIC theory; WEYL theory of boundary value problems
- Publication
Probability Theory & Related Fields, 2003, Vol 125, Issue 2, p225
- ISSN
0178-8051
- Publication type
Article
- DOI
10.1007/s00440-002-0240-4