On bounded ratios of minors of totally positive matrices

We provide several examples of bounded Laurent monomials of minors of a totally positive matrix, which can not be factored into a product of so called primitive ratios, thus showing that the conjecture about factorization of bounded ratios stated in [3] by Fallat, Gekhtman, and Johnson does not hold...

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Veröffentlicht in:arXiv.org 2023-10
Hauptverfasser: Soskin, Daniel, Gekhtman, Michael
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Sprache:eng
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