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Finite range decomposition for families of Gaussian measures
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Adams, S. (Stefan), Kotecky, Roman and Müller, Stefan (2013) Finite range decomposition for families of Gaussian measures. Journal of Functional Analysis, Volume 264 (Number 1). pp. 169-206. doi:10.1016/j.jfa.2012.10.006 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 $ \mathbb{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 $ \sim 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.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of Functional Analysis | ||||
Publisher: | Academic Press | ||||
ISSN: | 0022-1236 | ||||
Official Date: | January 2013 | ||||
Dates: |
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Volume: | Volume 264 | ||||
Number: | Number 1 | ||||
Page Range: | pp. 169-206 | ||||
DOI: | 10.1016/j.jfa.2012.10.006 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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