Necessary and sufficient conditions for the two-point phase probability function of two-phase random media

DOI10.1098/rspa.2008.0023zbMath1167.15015OpenAlexW2167957584MaRDI QIDQ5302207

John A. Quintanilla

Publication date: 6 January 2009

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2008.0023

zbMATH Keywords

positive-definite functionscorner-positive matricesdouble-description methodMcMillian's theoremreconstruction of random mediaunit processes

Mathematics Subject Classification ID

Random fields (60G60) Stationary stochastic processes (60G10) Linear programming (90C05) Positive matrices and their generalizations; cones of matrices (15B48) Random materials and composite materials (74A40)

Related Items (6)

The realization problem for tail correlation functions ⋮ Realisability conditions for second-order marginals of biphased media ⋮ Non-local energetics of random heterogeneous lattices ⋮ Computation of lacunarity from covariance of spatial binary maps ⋮ Towards effective information content assessment: analytical derivation of information loss in the reconstruction of random fields with model uncertainty ⋮ Regularity conditions in the realisability problem with applications to point processes and random closed sets

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