Results 11 to 20 of about 4,609,055 (154)
Totally Nonnegative Tropical Flags and the Totally Nonnegative Flag Dressian [PDF]
, 2023 We study the totally nonnegative part of the complete flag variety and of its tropicalization. We show that Lusztig's notion of nonnegative complete flag variety coincides with the flags in the complete flag variety which have nonnegative Pl{\"u}cker ...
Boretsky, Jonathan
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Totally nonnegative critical varieties [PDF]
, 2023 We study totally nonnegative parts of critical varieties in the Grassmannian. We show that each totally nonnegative critical variety Crit$^{\ge0}_f$ is the image of an affine poset cyclohedron under a continuous map and use this map to define a boundary ...
Galashin, Pavel
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Totally nonnegative (0,1)-matrices [PDF]
, 2010 We investigate (0,1)-matrices which are totally nonnegative and therefore which have all of their eigenvalues equal to nonnegative real numbers. Such matrices are characterized by four forbidden submatrices (of orders 2 and 3).
Brualdi, Richard A., Kirkland, Steve
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Regularity theorem for totally nonnegative flag varieties [PDF]
, 2021 We show that the totally nonnegative part of a partial flag variety $G/P$ (in the sense of Lusztig) is a regular CW complex, confirming a conjecture of Williams.
Karp, Steven N. +2 more
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The Hadamard core of the totally nonnegative matrices [PDF]
, 2001 An m-by-n matrix A is called totally nonnegative if every minor of A is nonnegative. The Hadamard product of two matrices is simply their entry-wise product.
Fallat, Shaun M. +5 more
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On Perron complements of totally nonnegative matrices [PDF]
, 2001 An n×n matrix is called totally nonnegative if every minor of A is nonnegative. The problem of interest is to describe the Perron complement of a principal submatrix of an irreducible totally nonnegative matrix.
Fallat, Shaun M. +3 more
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Irreducible totally nonnegative matrices with a prescribed Jordan structure [PDF]
, 2021 [EN] Let A be an irreducible totally nonnegative matrix with rank r and principal rank p, that is, all minors of A are nonnegative, r is the size of the largest invertible square submatrix of A and p is the size of its largest invertible principal ...
Cantó Colomina, Rafael +2 more
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Advanced Science, EarlyView.Highly overlapping fluorescent signals become distinguishable in photon‐limited living organisms via advanced imaging with intelligent reconstruction. The resulting in vivo hyperspectral imaging capability reveals nanoplastic uptake and circulation in live zebrafish, providing a new approach for studying complex biological and environmental processes ...
Renjian Li +11 more
wiley +1 more source
, 1999 An m-by-n matrix A is called totally nonnegative (resp. totally positive) if the determinant of every square submatrix (i.e., minor) of A is nonnegative (resp. positive).
Fallat, Shaun M.
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Advanced Science, EarlyView.Two‐photon calcium imaging in behaving 5xFAD mice reveals early CA1 coding deficits before behavioral decline. Task‐related place cell activity and splitter cell trajectory coding are impaired, with reduced retrospective dominance and greater prospective weighting.
Yimei Li +8 more
wiley +1 more source