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Spatial random field models inspired from statistical physics with applications in the geosciences

D.T. Hristopulos

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URIhttp://purl.tuc.gr/dl/dias/FFDF8219-E0EE-4E39-96D8-23B17CEC6701-
Identifierhttps://doi.org/10.1016/j.physa.2006.01.037-
Languageen-
Extent5 pagesen
TitleSpatial random field models inspired from statistical physics with applications in the geosciencesen
CreatorD.T. Hristopulosen
Content SummaryThe spatial structure of fluctuations in spatially inhomogeneous processes can be modeled in terms of Gibbs random fields. A local low energy estimator (LLEE) is proposed for the interpolation (prediction) of such processes at points where observations are not available. The LLEE approximates the spatial dependence of the data and the unknown values at the estimation points by low-lying excitations of a suitable energy functional. It is shown that the LLEE is a linear, unbiased, non-exact estimator. In addition, an expression for the uncertainty (standard deviation) of the estimate is deriveden
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2015-09-25-
Date of Publication2006-
Bibliographic CitationD.T. Hristopulos, " Spartan spatial random field models inspired from statistical physics with applications in the geosciences " , Physi. A: Stati. Mech. and its Ap.,vol. 365,no. 1-2,pp. 211-216,2006.doi:10.1016/j.physa.2006.01.037en

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