Realisability conditions for second‐order marginals of biphased media. Issue 3 (7th May 2014)

• Record Type: Journal Article
• Authors: Lachièze‐Rey, Raphaël
• Is Part Of: Random structures & algorithms. Volume 47:Issue 3(2015)
• Page Start: 588
• Page End: 604
• Publication Date: 2014-05-07
• Subjects: Random graphs -- Periodicals; Mathematical analysis -- Periodicals; 519
• DOI: 10.1002/rsa.20546
• Languages: English
• ISSNs: 1042-9832

Abstract

<abstract abstract-type="main"> <title>Abstract</title> <p>This paper concerns the second‐order marginals of biphased random media. We give discriminating necessary conditions for a bivariate function to be such a valid marginal, along with an algorithmic implementation, and illustrate our study with two theoretical applications: (1) the spherical variograms are valid indicator variograms if and only if they are multiplied by a sufficiently small constant, which upper bound is estimated, and (2) not every covariance/indicator variogram can be obtained with a Gaussian level set. © 2014 Wiley Periodicals, Inc. Random Struct. Alg., 47, 588–604, 2015</p> </abstract>