Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590372 | Journal of Functional Analysis | 2013 | 38 Pages |
Abstract
Let a family of gradient Gaussian vector fields on Zd be given. We show the existence of a uniform finite range decomposition of the corresponding covariance operators, that is, the covariance operator can be written as a sum of covariance operators whose kernels are supported within cubes of diameters ∼Lk. In addition we prove natural regularity for the subcovariance operators and we obtain regularity bounds as we vary within the given family of gradient Gaussian measures.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory