# Total positivity, Grassmannian and modified Bessel functions

2 UMPA
UMPA-ENSL - Unité de Mathématiques Pures et Appliquées
Abstract : A rectangular matrix is called {\it totally positive} if all its minors are positive. A point of a real Grassmanian manifold $G_{l,m}$ of $l$-dimensional subspaces in $\mathbb R^m$ is called {\it strictly totally positive} if one can normalize its Pl\"ucker coordinates to make all of them positive. Clearly if a $k\times m$-matrix, \$k
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Journal articles

Cited literature [23 references]

https://hal-ens-lyon.archives-ouvertes.fr/ensl-01664210
Contributor : Alexey Glutsyuk <>
Submitted on : Thursday, December 14, 2017 - 3:50:19 PM
Last modification on : Tuesday, July 14, 2020 - 11:14:04 AM

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### Citation

Victor Buchstaber, Alexey Glutsyuk. Total positivity, Grassmannian and modified Bessel functions. Contemporary mathematics, American Mathematical Society, 2019, 733, pp.97-107. ⟨10.1090/conm/733/14736⟩. ⟨ensl-01664210⟩

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