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References
Adler RJ (1981) The Geometry of Random Fields. Wiley, New York
Barthelemy M, Orland H, Zerah G (1995) Propagation in random media: calculation of the effective dispersive permittivity by use of the replica method. Phys Rev E 52(1):1123–1127
Bochner S (1959) Lectures on Fourier Integrals. Princeton University Press, Princeton, NJ
Chaikin PM, Lubensky TC (1995) Principles of Condensed Matter Physics. Cambridge University Press, UK
Feynman RP (1982) Statistical Mechanics. Benjamin and Cummings, Reading, MA
Goldenfeld N (1993) Lectures on Phase Transitions and the Renormalization Group. Addison-Wesley, New York
Goovaerts P (1997) Geostatistics for Natural Resources Evaluation. Oxford University Press, NY
Hristopulos DT, Christakos G (1997) A variational calculation of the effective fluid permeability of heterogeneous media. Phys Rev E 55(6): 7288–7298
Hristopulos DT, Christakos G (2001) Practical calculation of non-Gaussian multivariate moments in spatiotemporal Bayesian maximum entropy analysis. Math Geol 33(5): 543–568
Hristopulos DT (2003) Spartan Gibbs random field models for geostatistical applications. SIAM J Sci Comp 24: 2125–2162
Hristopulos DT (2003) Simulations of spartan random fields. In: Simos TE (ed) Proceedings of the international conference of computational methods in sciences and engineering 2003: 242–247. World Scientific, London, UK
Hristopulos DT (2003) Renormalization group methods in subsurface hydrology: Overview and applications in hydraulic conductivity upscaling. Adv Water Resour 26(12): 1279–1308
Meurice Y (2002) Simple method to make asymptotic series of Feynman diagrams converge. Phys Rev Lett 88(14):1601–1604
Pilz J (2003) Bayesian spatial prediction using the Matern class of covariance models. In: Dubois G, Malczewski J, De Cort M (eds) Mapping radioactivity in the environment: Spatial interpolation comparison 1997: 238–252. Office for Official Publications of the European Communities, Luxembourg
Yaglom M (1987) Correlation Theory of Stationary and Related Random Functions I. Springer, New York
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Hristopulos, D.T. (2009). Spartan Random Fields: Smoothness Properties of Gaussian Densities and Definition of Certain Non-Gaussian Models. In: Pilz, J. (eds) Interfacing Geostatistics and GIS. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-33236-7_2
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DOI: https://doi.org/10.1007/978-3-540-33236-7_2
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