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arXiv · 1301.4402

The convex class of realisable unit covariances

Raphael Lachieze-Rey
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Abstract

This paper concerns the characterisation of second order marginals for random sets in a discrete setting. Under the instance of unit covariances, this problem possesses a combinatorial symmetry, exploited jointly in the companion paper to give a heuristic procedure to check realisability. In particular we disprove Matheron's conjecture, and explicit partially the structure of the convex body formed by realisable unit covariances in a finite set.

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Raphael Lachieze-Rey. 2013-01-18. The convex class of realisable unit covariances. https://arxiv.org/abs/1301.4402

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