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Finite range decomposition for families of gradient Gaussian measures
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Adams, Stefan, Kotecký, Roman and Müller, Stefan. (2013) Finite range decomposition for families of gradient Gaussian measures. Journal of Functional Analysis, Vol.264 (No.1). pp. 169-206. ISSN 0022-1236
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Official URL: http://dx.doi.org/10.1016/j.jfa.2012.10.006
Abstract
Let a family of gradient Gaussian vector fields on Z d 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 ∼ L k. 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. © 2012 Elsevier Inc. All rights reserved.
| Item Type: | Journal Article |
|---|---|
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Journal of Functional Analysis |
| Publisher: | Academic Press |
| ISSN: | 0022-1236 |
| Date: | 2013 |
| Volume: | Vol.264 |
| Number: | No.1 |
| Page Range: | pp. 169-206 |
| Identification Number: | 10.1016/j.jfa.2012.10.006 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/52135 |
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