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Tensors of Nonnegative Rank Two

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arxiv 1305.0539 v1 pith:MUOZFRII submitted 2013-05-02 math.AG math.STstat.TH

Elizabeth S. Allman , John A. Rhodes , Bernd Sturmfels , Piotr Zwiernik This is my paper
classification math.AGmath.STstat.TH
keywords ranknonnegativetensorsbinarycommentexploreextensionsflattening
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A nonnegative tensor has nonnegative rank at most 2 if and only if it is supermodular and has flattening rank at most 2. We prove this result, then explore the semialgebraic geometry of the general Markov model on phylogenetic trees with binary states, and comment on possible extensions to tensors of higher rank.

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